GCF and LCM Calculator Logo

What is the Least Common Multiple of 93477 and 93492?

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 93477 and 93492 is 2913117228.

LCM(93477,93492) = 2913117228

LCM Calculator and
and

Least Common Multiple of 93477 and 93492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93477 and 93492, than apply into the LCM equation.

GCF(93477,93492) = 3
LCM(93477,93492) = ( 93477 × 93492) / 3
LCM(93477,93492) = 8739351684 / 3
LCM(93477,93492) = 2913117228

Least Common Multiple (LCM) of 93477 and 93492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93477 and 93492. First we will calculate the prime factors of 93477 and 93492.

Prime Factorization of 93477

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

93477 = 31 × 311591

Prime Factorization of 93492

Prime factors of 93492 are 2, 3, 7, 53. Prime factorization of 93492 in exponential form is:

93492 = 22 × 32 × 72 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 93477 and 93492.

LCM(93477,93492) = 32 × 311591 × 22 × 72 × 531
LCM(93477,93492) = 2913117228