What is the Least Common Multiple of 37614 and 37628?

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 37614 and 37628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37614 and 37628, than apply into the LCM equation.

GCF(37614,37628) = 2
LCM(37614,37628) = ( 37614 × 37628) / 2
LCM(37614,37628) = 1415339592 / 2
LCM(37614,37628) = 707669796

Least Common Multiple (LCM) of 37614 and 37628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37614 and 37628. First we will calculate the prime factors of 37614 and 37628.

Prime Factorization of 37614

Prime Factorization of 37628

Now multiplying the highest exponent prime factors to calculate the LCM of 37614 and 37628.

LCM(37614,37628) = 2² × 3¹ × 6269¹ × 23¹ × 409¹
LCM(37614,37628) = 707669796