GCF and LCM Calculator Logo

What is the Least Common Multiple of 56627 and 56637?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 56627 and 56637 is 3207183399.

LCM(56627,56637) = 3207183399

LCM Calculator and
and

Least Common Multiple of 56627 and 56637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56627 and 56637, than apply into the LCM equation.

GCF(56627,56637) = 1
LCM(56627,56637) = ( 56627 × 56637) / 1
LCM(56627,56637) = 3207183399 / 1
LCM(56627,56637) = 3207183399

Least Common Multiple (LCM) of 56627 and 56637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56627 and 56637. First we will calculate the prime factors of 56627 and 56637.

Prime Factorization of 56627

Prime factors of 56627 are 17, 3331. Prime factorization of 56627 in exponential form is:

56627 = 171 × 33311

Prime Factorization of 56637

Prime factors of 56637 are 3, 7, 29, 31. Prime factorization of 56637 in exponential form is:

56637 = 32 × 71 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 56627 and 56637.

LCM(56627,56637) = 171 × 33311 × 32 × 71 × 291 × 311
LCM(56627,56637) = 3207183399