What is the Least Common Multiple of 52704 and 52708?

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 52704 and 52708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52704 and 52708, than apply into the LCM equation.

GCF(52704,52708) = 4
LCM(52704,52708) = ( 52704 × 52708) / 4
LCM(52704,52708) = 2777922432 / 4
LCM(52704,52708) = 694480608

Least Common Multiple (LCM) of 52704 and 52708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52704 and 52708. First we will calculate the prime factors of 52704 and 52708.

Prime Factorization of 52704

Prime Factorization of 52708

Now multiplying the highest exponent prime factors to calculate the LCM of 52704 and 52708.

LCM(52704,52708) = 2⁵ × 3³ × 61¹ × 13177¹
LCM(52704,52708) = 694480608