What is the Least Common Multiple of 37628 and 37637?

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 37628 and 37637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37628 and 37637, than apply into the LCM equation.

GCF(37628,37637) = 1
LCM(37628,37637) = ( 37628 × 37637) / 1
LCM(37628,37637) = 1416205036 / 1
LCM(37628,37637) = 1416205036

Least Common Multiple (LCM) of 37628 and 37637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37628 and 37637. First we will calculate the prime factors of 37628 and 37637.

Prime Factorization of 37628

Prime Factorization of 37637

Now multiplying the highest exponent prime factors to calculate the LCM of 37628 and 37637.

LCM(37628,37637) = 2² × 23¹ × 409¹ × 61¹ × 617¹
LCM(37628,37637) = 1416205036