What is the Least Common Multiple of 73312 and 73330?

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 73330 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 73330, than apply into the LCM equation.

GCF(73312,73330) = 2
LCM(73312,73330) = ( 73312 × 73330) / 2
LCM(73312,73330) = 5375968960 / 2
LCM(73312,73330) = 2687984480

Least Common Multiple (LCM) of 73312 and 73330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73312 and 73330. First we will calculate the prime factors of 73312 and 73330.

Prime Factorization of 73312

Prime Factorization of 73330

Now multiplying the highest exponent prime factors to calculate the LCM of 73312 and 73330.

LCM(73312,73330) = 2⁵ × 29¹ × 79¹ × 5¹ × 7333¹
LCM(73312,73330) = 2687984480