GCF and LCM Calculator Logo

What is the Least Common Multiple of 93462 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 (LCM) of 93462 and 93477 is 2912182458.

LCM(93462,93477) = 2912182458

LCM Calculator and
and

Least Common Multiple of 93462 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 93462 and 93477, than apply into the LCM equation.

GCF(93462,93477) = 3
LCM(93462,93477) = ( 93462 × 93477) / 3
LCM(93462,93477) = 8736547374 / 3
LCM(93462,93477) = 2912182458

Least Common Multiple (LCM) of 93462 and 93477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93462 and 93477. First we will calculate the prime factors of 93462 and 93477.

Prime Factorization of 93462

Prime factors of 93462 are 2, 3, 37, 421. Prime factorization of 93462 in exponential form is:

93462 = 21 × 31 × 371 × 4211

Prime Factorization of 93477

Prime factors of 93477 are 3, 31159. Prime factorization of 93477 in exponential form is:

93477 = 31 × 311591

Now multiplying the highest exponent prime factors to calculate the LCM of 93462 and 93477.

LCM(93462,93477) = 21 × 31 × 371 × 4211 × 311591
LCM(93462,93477) = 2912182458