What is the Least Common Multiple of 39576 and 39588?

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 39576 and 39588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39576 and 39588, than apply into the LCM equation.

GCF(39576,39588) = 12
LCM(39576,39588) = ( 39576 × 39588) / 12
LCM(39576,39588) = 1566734688 / 12
LCM(39576,39588) = 130561224

Least Common Multiple (LCM) of 39576 and 39588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39576 and 39588. First we will calculate the prime factors of 39576 and 39588.

Prime Factorization of 39576

Prime Factorization of 39588

Now multiplying the highest exponent prime factors to calculate the LCM of 39576 and 39588.

LCM(39576,39588) = 2³ × 3¹ × 17¹ × 97¹ × 3299¹
LCM(39576,39588) = 130561224