What is the Least Common Multiple of 37872 and 37892?

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 37872 and 37892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37872 and 37892, than apply into the LCM equation.

GCF(37872,37892) = 4
LCM(37872,37892) = ( 37872 × 37892) / 4
LCM(37872,37892) = 1435045824 / 4
LCM(37872,37892) = 358761456

Least Common Multiple (LCM) of 37872 and 37892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37872 and 37892. First we will calculate the prime factors of 37872 and 37892.

Prime Factorization of 37872

Prime Factorization of 37892

Now multiplying the highest exponent prime factors to calculate the LCM of 37872 and 37892.

LCM(37872,37892) = 2⁴ × 3² × 263¹ × 9473¹
LCM(37872,37892) = 358761456