What is the Least Common Multiple of 33672 and 33687?

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 33672 and 33687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33672 and 33687, than apply into the LCM equation.

GCF(33672,33687) = 3
LCM(33672,33687) = ( 33672 × 33687) / 3
LCM(33672,33687) = 1134308664 / 3
LCM(33672,33687) = 378102888

Least Common Multiple (LCM) of 33672 and 33687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33672 and 33687. First we will calculate the prime factors of 33672 and 33687.

Prime Factorization of 33672

Prime Factorization of 33687

Now multiplying the highest exponent prime factors to calculate the LCM of 33672 and 33687.

LCM(33672,33687) = 2³ × 3² × 23¹ × 61¹ × 19¹ × 197¹
LCM(33672,33687) = 378102888