What is the Least Common Multiple of 15700 and 15720?

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 15700 and 15720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15700 and 15720, than apply into the LCM equation.

GCF(15700,15720) = 20
LCM(15700,15720) = ( 15700 × 15720) / 20
LCM(15700,15720) = 246804000 / 20
LCM(15700,15720) = 12340200

Least Common Multiple (LCM) of 15700 and 15720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15700 and 15720. First we will calculate the prime factors of 15700 and 15720.

Prime Factorization of 15700

Prime Factorization of 15720

Now multiplying the highest exponent prime factors to calculate the LCM of 15700 and 15720.

LCM(15700,15720) = 2³ × 5² × 157¹ × 3¹ × 131¹
LCM(15700,15720) = 12340200