What is the Least Common Multiple of 52704 and 52712?

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 52712 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 52712, than apply into the LCM equation.

GCF(52704,52712) = 8
LCM(52704,52712) = ( 52704 × 52712) / 8
LCM(52704,52712) = 2778133248 / 8
LCM(52704,52712) = 347266656

Least Common Multiple (LCM) of 52704 and 52712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52704 and 52712. First we will calculate the prime factors of 52704 and 52712.

Prime Factorization of 52704

Prime Factorization of 52712

Now multiplying the highest exponent prime factors to calculate the LCM of 52704 and 52712.

LCM(52704,52712) = 2⁵ × 3³ × 61¹ × 11¹ × 599¹
LCM(52704,52712) = 347266656