What is the Least Common Multiple of 37884 and 37891?

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 37884 and 37891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37884 and 37891, than apply into the LCM equation.

GCF(37884,37891) = 7
LCM(37884,37891) = ( 37884 × 37891) / 7
LCM(37884,37891) = 1435462644 / 7
LCM(37884,37891) = 205066092

Least Common Multiple (LCM) of 37884 and 37891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37884 and 37891. First we will calculate the prime factors of 37884 and 37891.

Prime Factorization of 37884

Prime Factorization of 37891

Now multiplying the highest exponent prime factors to calculate the LCM of 37884 and 37891.

LCM(37884,37891) = 2² × 3¹ × 7¹ × 11¹ × 41¹ × 5413¹
LCM(37884,37891) = 205066092