What is the Least Common Multiple of 39700 and 39715?

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 39700 and 39715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39700 and 39715, than apply into the LCM equation.

GCF(39700,39715) = 5
LCM(39700,39715) = ( 39700 × 39715) / 5
LCM(39700,39715) = 1576685500 / 5
LCM(39700,39715) = 315337100

Least Common Multiple (LCM) of 39700 and 39715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39700 and 39715. First we will calculate the prime factors of 39700 and 39715.

Prime Factorization of 39700

Prime Factorization of 39715

Now multiplying the highest exponent prime factors to calculate the LCM of 39700 and 39715.

LCM(39700,39715) = 2² × 5² × 397¹ × 13² × 47¹
LCM(39700,39715) = 315337100