What is the Least Common Multiple of 37875 and 37884?

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 37875 and 37884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37875 and 37884, than apply into the LCM equation.

GCF(37875,37884) = 3
LCM(37875,37884) = ( 37875 × 37884) / 3
LCM(37875,37884) = 1434856500 / 3
LCM(37875,37884) = 478285500

Least Common Multiple (LCM) of 37875 and 37884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37875 and 37884. First we will calculate the prime factors of 37875 and 37884.

Prime Factorization of 37875

Prime Factorization of 37884

Now multiplying the highest exponent prime factors to calculate the LCM of 37875 and 37884.

LCM(37875,37884) = 3¹ × 5³ × 101¹ × 2² × 7¹ × 11¹ × 41¹
LCM(37875,37884) = 478285500