What is the Least Common Multiple of 39552 and 39567?

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 39552 and 39567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39552 and 39567, than apply into the LCM equation.

GCF(39552,39567) = 3
LCM(39552,39567) = ( 39552 × 39567) / 3
LCM(39552,39567) = 1564953984 / 3
LCM(39552,39567) = 521651328

Least Common Multiple (LCM) of 39552 and 39567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39552 and 39567. First we will calculate the prime factors of 39552 and 39567.

Prime Factorization of 39552

Prime Factorization of 39567

Now multiplying the highest exponent prime factors to calculate the LCM of 39552 and 39567.

LCM(39552,39567) = 2⁷ × 3¹ × 103¹ × 11² × 109¹
LCM(39552,39567) = 521651328