What is the Least Common Multiple of 93465 and 93477?

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 93465 and 93477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93465 and 93477, than apply into the LCM equation.

GCF(93465,93477) = 3
LCM(93465,93477) = ( 93465 × 93477) / 3
LCM(93465,93477) = 8736827805 / 3
LCM(93465,93477) = 2912275935

Least Common Multiple (LCM) of 93465 and 93477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93465 and 93477. First we will calculate the prime factors of 93465 and 93477.

Prime Factorization of 93465

Prime Factorization of 93477

Now multiplying the highest exponent prime factors to calculate the LCM of 93465 and 93477.

LCM(93465,93477) = 3² × 5¹ × 31¹ × 67¹ × 31159¹
LCM(93465,93477) = 2912275935