# The LCM (1,000,000,000,000 and 1,000,000,000,000) = ? Calculate the Least Common Multiple, LCM, of the Numbers

## The least common multiple

lcm (1,000,000,000,000; 1,000,000,000,000) = ?

### How is the least common multiple calculated?

#### By definition, the least common multiple of two numbers is the smallest natural number that is: (1) greater than 0 and (2) a multiple of both numbers.

#### The two numbers are equal.

#### The smallest multiple of 1,000,000,000,000 is the number itself: 1,000,000,000,000.

## lcm (1,000,000,000,000; 1,000,000,000,000) = 1,000,000,000,000 = 2^{12} × 5^{12}

## Other similar operations with the least common multiple:

## Calculator: calculate the least common multiple, lcm

### Calculate the least common multiple of the numbers, LCM:

#### Method 1: Run the prime factorization of the numbers - then multiply all the prime factors of the numbers, taken by the largest exponents.

#### Method 2: The Euclidean algorithm:

lcm (a; b) = ^{(a × b)} / _{gcf (a; b) }

#### Method 3: The divisibility of the numbers.