What is the Least Common Multiple of 39920 and 39925?

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 39920 and 39925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39920 and 39925, than apply into the LCM equation.

GCF(39920,39925) = 5
LCM(39920,39925) = ( 39920 × 39925) / 5
LCM(39920,39925) = 1593806000 / 5
LCM(39920,39925) = 318761200

Least Common Multiple (LCM) of 39920 and 39925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39920 and 39925. First we will calculate the prime factors of 39920 and 39925.

Prime Factorization of 39920

Prime Factorization of 39925

Now multiplying the highest exponent prime factors to calculate the LCM of 39920 and 39925.

LCM(39920,39925) = 2⁴ × 5² × 499¹ × 1597¹
LCM(39920,39925) = 318761200