What is the Least Common Multiple of 37628 and 37639?

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 37639 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 37639, than apply into the LCM equation.

GCF(37628,37639) = 1
LCM(37628,37639) = ( 37628 × 37639) / 1
LCM(37628,37639) = 1416280292 / 1
LCM(37628,37639) = 1416280292

Least Common Multiple (LCM) of 37628 and 37639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37628 and 37639. First we will calculate the prime factors of 37628 and 37639.

Prime Factorization of 37628

Prime Factorization of 37639

Now multiplying the highest exponent prime factors to calculate the LCM of 37628 and 37639.

LCM(37628,37639) = 2² × 23¹ × 409¹ × 7¹ × 19¹ × 283¹
LCM(37628,37639) = 1416280292