What is the Least Common Multiple of 93324 and 93339?

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 93324 and 93339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93324 and 93339, than apply into the LCM equation.

GCF(93324,93339) = 3
LCM(93324,93339) = ( 93324 × 93339) / 3
LCM(93324,93339) = 8710768836 / 3
LCM(93324,93339) = 2903589612

Least Common Multiple (LCM) of 93324 and 93339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93324 and 93339. First we will calculate the prime factors of 93324 and 93339.

Prime Factorization of 93324

Prime Factorization of 93339

Now multiplying the highest exponent prime factors to calculate the LCM of 93324 and 93339.

LCM(93324,93339) = 2² × 3³ × 7¹ × 11¹ × 101¹ × 3457¹
LCM(93324,93339) = 2903589612