GCF and LCM Calculator Logo

What is the Least Common Multiple of 93124 and 93143?

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 93124 and 93143 is 8673848732.

LCM(93124,93143) = 8673848732

LCM Calculator and
and

Least Common Multiple of 93124 and 93143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93124 and 93143, than apply into the LCM equation.

GCF(93124,93143) = 1
LCM(93124,93143) = ( 93124 × 93143) / 1
LCM(93124,93143) = 8673848732 / 1
LCM(93124,93143) = 8673848732

Least Common Multiple (LCM) of 93124 and 93143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93124 and 93143. First we will calculate the prime factors of 93124 and 93143.

Prime Factorization of 93124

Prime factors of 93124 are 2, 31, 751. Prime factorization of 93124 in exponential form is:

93124 = 22 × 311 × 7511

Prime Factorization of 93143

Prime factors of 93143 are 17, 5479. Prime factorization of 93143 in exponential form is:

93143 = 171 × 54791

Now multiplying the highest exponent prime factors to calculate the LCM of 93124 and 93143.

LCM(93124,93143) = 22 × 311 × 7511 × 171 × 54791
LCM(93124,93143) = 8673848732