What is the Least Common Multiple of 39561 and 39570?

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 39561 and 39570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39561 and 39570, than apply into the LCM equation.

GCF(39561,39570) = 3
LCM(39561,39570) = ( 39561 × 39570) / 3
LCM(39561,39570) = 1565428770 / 3
LCM(39561,39570) = 521809590

Least Common Multiple (LCM) of 39561 and 39570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39561 and 39570. First we will calculate the prime factors of 39561 and 39570.

Prime Factorization of 39561

Prime Factorization of 39570

Now multiplying the highest exponent prime factors to calculate the LCM of 39561 and 39570.

LCM(39561,39570) = 3¹ × 13187¹ × 2¹ × 5¹ × 1319¹
LCM(39561,39570) = 521809590