What is the Least Common Multiple of 93312 and 93330?

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 93312 and 93330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93312 and 93330, than apply into the LCM equation.

GCF(93312,93330) = 18
LCM(93312,93330) = ( 93312 × 93330) / 18
LCM(93312,93330) = 8708808960 / 18
LCM(93312,93330) = 483822720

Least Common Multiple (LCM) of 93312 and 93330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93312 and 93330. First we will calculate the prime factors of 93312 and 93330.

Prime Factorization of 93312

Prime Factorization of 93330

Now multiplying the highest exponent prime factors to calculate the LCM of 93312 and 93330.

LCM(93312,93330) = 2⁷ × 3⁶ × 5¹ × 17¹ × 61¹
LCM(93312,93330) = 483822720