What is the Least Common Multiple of 52720 and 52735?

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 52720 and 52735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52720 and 52735, than apply into the LCM equation.

GCF(52720,52735) = 5
LCM(52720,52735) = ( 52720 × 52735) / 5
LCM(52720,52735) = 2780189200 / 5
LCM(52720,52735) = 556037840

Least Common Multiple (LCM) of 52720 and 52735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52720 and 52735. First we will calculate the prime factors of 52720 and 52735.

Prime Factorization of 52720

Prime Factorization of 52735

Now multiplying the highest exponent prime factors to calculate the LCM of 52720 and 52735.

LCM(52720,52735) = 2⁴ × 5¹ × 659¹ × 53¹ × 199¹
LCM(52720,52735) = 556037840