What is the Least Common Multiple of 53376 and 53396?

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 53376 and 53396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53376 and 53396, than apply into the LCM equation.

GCF(53376,53396) = 4
LCM(53376,53396) = ( 53376 × 53396) / 4
LCM(53376,53396) = 2850064896 / 4
LCM(53376,53396) = 712516224

Least Common Multiple (LCM) of 53376 and 53396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53376 and 53396. First we will calculate the prime factors of 53376 and 53396.

Prime Factorization of 53376

Prime Factorization of 53396

Now multiplying the highest exponent prime factors to calculate the LCM of 53376 and 53396.

LCM(53376,53396) = 2⁷ × 3¹ × 139¹ × 7¹ × 1907¹
LCM(53376,53396) = 712516224