What is the Least Common Multiple of 51720 and 51725?

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 51720 and 51725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51720 and 51725, than apply into the LCM equation.

GCF(51720,51725) = 5
LCM(51720,51725) = ( 51720 × 51725) / 5
LCM(51720,51725) = 2675217000 / 5
LCM(51720,51725) = 535043400

Least Common Multiple (LCM) of 51720 and 51725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51720 and 51725. First we will calculate the prime factors of 51720 and 51725.

Prime Factorization of 51720

Prime Factorization of 51725

Now multiplying the highest exponent prime factors to calculate the LCM of 51720 and 51725.

LCM(51720,51725) = 2³ × 3¹ × 5² × 431¹ × 2069¹
LCM(51720,51725) = 535043400