What is the Least Common Multiple of 53709 and 53725?

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 53709 and 53725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53709 and 53725, than apply into the LCM equation.

GCF(53709,53725) = 1
LCM(53709,53725) = ( 53709 × 53725) / 1
LCM(53709,53725) = 2885516025 / 1
LCM(53709,53725) = 2885516025

Least Common Multiple (LCM) of 53709 and 53725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53709 and 53725. First we will calculate the prime factors of 53709 and 53725.

Prime Factorization of 53709

Prime Factorization of 53725

Now multiplying the highest exponent prime factors to calculate the LCM of 53709 and 53725.

LCM(53709,53725) = 3¹ × 17903¹ × 5² × 7¹ × 307¹
LCM(53709,53725) = 2885516025