What is the Least Common Multiple of 39715 and 39725?

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 39715 and 39725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39715 and 39725, than apply into the LCM equation.

GCF(39715,39725) = 5
LCM(39715,39725) = ( 39715 × 39725) / 5
LCM(39715,39725) = 1577678375 / 5
LCM(39715,39725) = 315535675

Least Common Multiple (LCM) of 39715 and 39725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39715 and 39725. First we will calculate the prime factors of 39715 and 39725.

Prime Factorization of 39715

Prime Factorization of 39725

Now multiplying the highest exponent prime factors to calculate the LCM of 39715 and 39725.

LCM(39715,39725) = 5² × 13² × 47¹ × 7¹ × 227¹
LCM(39715,39725) = 315535675