What is the Least Common Multiple of 73312 and 73322?

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 73312 and 73322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73312 and 73322, than apply into the LCM equation.

GCF(73312,73322) = 2
LCM(73312,73322) = ( 73312 × 73322) / 2
LCM(73312,73322) = 5375382464 / 2
LCM(73312,73322) = 2687691232

Least Common Multiple (LCM) of 73312 and 73322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73312 and 73322. First we will calculate the prime factors of 73312 and 73322.

Prime Factorization of 73312

Prime Factorization of 73322

Now multiplying the highest exponent prime factors to calculate the LCM of 73312 and 73322.

LCM(73312,73322) = 2⁵ × 29¹ × 79¹ × 61¹ × 601¹
LCM(73312,73322) = 2687691232