What is the Least Common Multiple of 15720 and 15725?

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 15720 and 15725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15720 and 15725, than apply into the LCM equation.

GCF(15720,15725) = 5
LCM(15720,15725) = ( 15720 × 15725) / 5
LCM(15720,15725) = 247197000 / 5
LCM(15720,15725) = 49439400

Least Common Multiple (LCM) of 15720 and 15725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15720 and 15725. First we will calculate the prime factors of 15720 and 15725.

Prime Factorization of 15720

Prime Factorization of 15725

Now multiplying the highest exponent prime factors to calculate the LCM of 15720 and 15725.

LCM(15720,15725) = 2³ × 3¹ × 5² × 131¹ × 17¹ × 37¹
LCM(15720,15725) = 49439400