What is the Least Common Multiple of 93339 and 93345?

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 93339 and 93345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93339 and 93345, than apply into the LCM equation.

GCF(93339,93345) = 3
LCM(93339,93345) = ( 93339 × 93345) / 3
LCM(93339,93345) = 8712728955 / 3
LCM(93339,93345) = 2904242985

Least Common Multiple (LCM) of 93339 and 93345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93339 and 93345. First we will calculate the prime factors of 93339 and 93345.

Prime Factorization of 93339

Prime Factorization of 93345

Now multiplying the highest exponent prime factors to calculate the LCM of 93339 and 93345.

LCM(93339,93345) = 3³ × 3457¹ × 5¹ × 7² × 127¹
LCM(93339,93345) = 2904242985