What is the Least Common Multiple of 93354 and 93360?

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 93354 and 93360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93354 and 93360, than apply into the LCM equation.

GCF(93354,93360) = 6
LCM(93354,93360) = ( 93354 × 93360) / 6
LCM(93354,93360) = 8715529440 / 6
LCM(93354,93360) = 1452588240

Least Common Multiple (LCM) of 93354 and 93360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93354 and 93360. First we will calculate the prime factors of 93354 and 93360.

Prime Factorization of 93354

Prime Factorization of 93360

Now multiplying the highest exponent prime factors to calculate the LCM of 93354 and 93360.

LCM(93354,93360) = 2⁴ × 3¹ × 15559¹ × 5¹ × 389¹
LCM(93354,93360) = 1452588240