What is the Least Common Multiple of 52772 and 52784?

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 52772 and 52784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52772 and 52784, than apply into the LCM equation.

GCF(52772,52784) = 4
LCM(52772,52784) = ( 52772 × 52784) / 4
LCM(52772,52784) = 2785517248 / 4
LCM(52772,52784) = 696379312

Least Common Multiple (LCM) of 52772 and 52784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52772 and 52784. First we will calculate the prime factors of 52772 and 52784.

Prime Factorization of 52772

Prime Factorization of 52784

Now multiplying the highest exponent prime factors to calculate the LCM of 52772 and 52784.

LCM(52772,52784) = 2⁴ × 79¹ × 167¹ × 3299¹
LCM(52772,52784) = 696379312