What is the Least Common Multiple of 53344 and 53352?

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 53344 and 53352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53344 and 53352, than apply into the LCM equation.

GCF(53344,53352) = 8
LCM(53344,53352) = ( 53344 × 53352) / 8
LCM(53344,53352) = 2846009088 / 8
LCM(53344,53352) = 355751136

Least Common Multiple (LCM) of 53344 and 53352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53344 and 53352. First we will calculate the prime factors of 53344 and 53352.

Prime Factorization of 53344

Prime Factorization of 53352

Now multiplying the highest exponent prime factors to calculate the LCM of 53344 and 53352.

LCM(53344,53352) = 2⁵ × 1667¹ × 3³ × 13¹ × 19¹
LCM(53344,53352) = 355751136