What is the Least Common Multiple of 39552 and 39569?

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 39569 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 39569, than apply into the LCM equation.

GCF(39552,39569) = 1
LCM(39552,39569) = ( 39552 × 39569) / 1
LCM(39552,39569) = 1565033088 / 1
LCM(39552,39569) = 1565033088

Least Common Multiple (LCM) of 39552 and 39569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39552 and 39569. First we will calculate the prime factors of 39552 and 39569.

Prime Factorization of 39552

Prime Factorization of 39569

Now multiplying the highest exponent prime factors to calculate the LCM of 39552 and 39569.

LCM(39552,39569) = 2⁷ × 3¹ × 103¹ × 39569¹
LCM(39552,39569) = 1565033088