What is the Least Common Multiple of 37372 and 37388?

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 37372 and 37388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37372 and 37388, than apply into the LCM equation.

GCF(37372,37388) = 4
LCM(37372,37388) = ( 37372 × 37388) / 4
LCM(37372,37388) = 1397264336 / 4
LCM(37372,37388) = 349316084

Least Common Multiple (LCM) of 37372 and 37388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37372 and 37388. First we will calculate the prime factors of 37372 and 37388.

Prime Factorization of 37372

Prime Factorization of 37388

Now multiplying the highest exponent prime factors to calculate the LCM of 37372 and 37388.

LCM(37372,37388) = 2² × 9343¹ × 13¹ × 719¹
LCM(37372,37388) = 349316084