What is the Least Common Multiple of 56623 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 of 56623 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 56623 and 56637, than apply into the LCM equation.

GCF(56623,56637) = 7
LCM(56623,56637) = ( 56623 × 56637) / 7
LCM(56623,56637) = 3206956851 / 7
LCM(56623,56637) = 458136693

Least Common Multiple (LCM) of 56623 and 56637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56623 and 56637. First we will calculate the prime factors of 56623 and 56637.

Prime Factorization of 56623

Prime Factorization of 56637

Now multiplying the highest exponent prime factors to calculate the LCM of 56623 and 56637.

LCM(56623,56637) = 7¹ × 8089¹ × 3² × 29¹ × 31¹
LCM(56623,56637) = 458136693