What is the Least Common Multiple of 37668 and 37677?

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 37668 and 37677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37668 and 37677, than apply into the LCM equation.

GCF(37668,37677) = 3
LCM(37668,37677) = ( 37668 × 37677) / 3
LCM(37668,37677) = 1419217236 / 3
LCM(37668,37677) = 473072412

Least Common Multiple (LCM) of 37668 and 37677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37668 and 37677. First we will calculate the prime factors of 37668 and 37677.

Prime Factorization of 37668

Prime Factorization of 37677

Now multiplying the highest exponent prime factors to calculate the LCM of 37668 and 37677.

LCM(37668,37677) = 2² × 3¹ × 43¹ × 73¹ × 19¹ × 661¹
LCM(37668,37677) = 473072412