What is the Least Common Multiple of 53364 and 53376?

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 53364 and 53376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53364 and 53376, than apply into the LCM equation.

GCF(53364,53376) = 12
LCM(53364,53376) = ( 53364 × 53376) / 12
LCM(53364,53376) = 2848356864 / 12
LCM(53364,53376) = 237363072

Least Common Multiple (LCM) of 53364 and 53376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53364 and 53376. First we will calculate the prime factors of 53364 and 53376.

Prime Factorization of 53364

Prime Factorization of 53376

Now multiplying the highest exponent prime factors to calculate the LCM of 53364 and 53376.

LCM(53364,53376) = 2⁷ × 3¹ × 4447¹ × 139¹
LCM(53364,53376) = 237363072