What is the Least Common Multiple of 39672 and 39677?

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 39672 and 39677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39672 and 39677, than apply into the LCM equation.

GCF(39672,39677) = 1
LCM(39672,39677) = ( 39672 × 39677) / 1
LCM(39672,39677) = 1574065944 / 1
LCM(39672,39677) = 1574065944

Least Common Multiple (LCM) of 39672 and 39677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39672 and 39677. First we will calculate the prime factors of 39672 and 39677.

Prime Factorization of 39672

Prime Factorization of 39677

Now multiplying the highest exponent prime factors to calculate the LCM of 39672 and 39677.

LCM(39672,39677) = 2³ × 3² × 19¹ × 29¹ × 11¹ × 3607¹
LCM(39672,39677) = 1574065944