What is the Least Common Multiple of 52710 and 52720?

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 52710 and 52720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52710 and 52720, than apply into the LCM equation.

GCF(52710,52720) = 10
LCM(52710,52720) = ( 52710 × 52720) / 10
LCM(52710,52720) = 2778871200 / 10
LCM(52710,52720) = 277887120

Least Common Multiple (LCM) of 52710 and 52720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52710 and 52720. First we will calculate the prime factors of 52710 and 52720.

Prime Factorization of 52710

Prime Factorization of 52720

Now multiplying the highest exponent prime factors to calculate the LCM of 52710 and 52720.

LCM(52710,52720) = 2⁴ × 3¹ × 5¹ × 7¹ × 251¹ × 659¹
LCM(52710,52720) = 277887120