What is the Least Common Multiple of 18672 and 18677?

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 18672 and 18677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18672 and 18677, than apply into the LCM equation.

GCF(18672,18677) = 1
LCM(18672,18677) = ( 18672 × 18677) / 1
LCM(18672,18677) = 348736944 / 1
LCM(18672,18677) = 348736944

Least Common Multiple (LCM) of 18672 and 18677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18672 and 18677. First we will calculate the prime factors of 18672 and 18677.

Prime Factorization of 18672

Prime Factorization of 18677

Now multiplying the highest exponent prime factors to calculate the LCM of 18672 and 18677.

LCM(18672,18677) = 2⁴ × 3¹ × 389¹ × 19¹ × 983¹
LCM(18672,18677) = 348736944