What is the Least Common Multiple of 39567 and 39578?

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 39567 and 39578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39567 and 39578, than apply into the LCM equation.

GCF(39567,39578) = 11
LCM(39567,39578) = ( 39567 × 39578) / 11
LCM(39567,39578) = 1565982726 / 11
LCM(39567,39578) = 142362066

Least Common Multiple (LCM) of 39567 and 39578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39567 and 39578. First we will calculate the prime factors of 39567 and 39578.

Prime Factorization of 39567

Prime Factorization of 39578

Now multiplying the highest exponent prime factors to calculate the LCM of 39567 and 39578.

LCM(39567,39578) = 3¹ × 11² × 109¹ × 2¹ × 7¹ × 257¹
LCM(39567,39578) = 142362066