GCF and LCM Calculator Logo

What is the Least Common Multiple of 96853 and 96872?

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 96853 and 96872 is 9382343816.

LCM(96853,96872) = 9382343816

LCM Calculator and
and

Least Common Multiple of 96853 and 96872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96853 and 96872, than apply into the LCM equation.

GCF(96853,96872) = 1
LCM(96853,96872) = ( 96853 × 96872) / 1
LCM(96853,96872) = 9382343816 / 1
LCM(96853,96872) = 9382343816

Least Common Multiple (LCM) of 96853 and 96872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96853 and 96872. First we will calculate the prime factors of 96853 and 96872.

Prime Factorization of 96853

Prime factors of 96853 are 23, 4211. Prime factorization of 96853 in exponential form is:

96853 = 231 × 42111

Prime Factorization of 96872

Prime factors of 96872 are 2, 12109. Prime factorization of 96872 in exponential form is:

96872 = 23 × 121091

Now multiplying the highest exponent prime factors to calculate the LCM of 96853 and 96872.

LCM(96853,96872) = 231 × 42111 × 23 × 121091
LCM(96853,96872) = 9382343816