What is the Least Common Multiple of 37628 and 37640?

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 37640 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 37640, than apply into the LCM equation.

GCF(37628,37640) = 4
LCM(37628,37640) = ( 37628 × 37640) / 4
LCM(37628,37640) = 1416317920 / 4
LCM(37628,37640) = 354079480

Least Common Multiple (LCM) of 37628 and 37640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37628 and 37640. First we will calculate the prime factors of 37628 and 37640.

Prime Factorization of 37628

Prime Factorization of 37640

Now multiplying the highest exponent prime factors to calculate the LCM of 37628 and 37640.

LCM(37628,37640) = 2³ × 23¹ × 409¹ × 5¹ × 941¹
LCM(37628,37640) = 354079480