What is the Least Common Multiple of 73376 and 73380?

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 73376 and 73380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73376 and 73380, than apply into the LCM equation.

GCF(73376,73380) = 4
LCM(73376,73380) = ( 73376 × 73380) / 4
LCM(73376,73380) = 5384330880 / 4
LCM(73376,73380) = 1346082720

Least Common Multiple (LCM) of 73376 and 73380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73376 and 73380. First we will calculate the prime factors of 73376 and 73380.

Prime Factorization of 73376

Prime Factorization of 73380

Now multiplying the highest exponent prime factors to calculate the LCM of 73376 and 73380.

LCM(73376,73380) = 2⁵ × 2293¹ × 3¹ × 5¹ × 1223¹
LCM(73376,73380) = 1346082720