What is the Least Common Multiple of 73356 and 73376?

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 73356 and 73376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73356 and 73376, than apply into the LCM equation.

GCF(73356,73376) = 4
LCM(73356,73376) = ( 73356 × 73376) / 4
LCM(73356,73376) = 5382569856 / 4
LCM(73356,73376) = 1345642464

Least Common Multiple (LCM) of 73356 and 73376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73356 and 73376. First we will calculate the prime factors of 73356 and 73376.

Prime Factorization of 73356

Prime Factorization of 73376

Now multiplying the highest exponent prime factors to calculate the LCM of 73356 and 73376.

LCM(73356,73376) = 2⁵ × 3¹ × 6113¹ × 2293¹
LCM(73356,73376) = 1345642464