GCF and LCM Calculator Logo

What is the Least Common Multiple of 92135 and 92150?

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 92135 and 92150 is 1698048050.

LCM(92135,92150) = 1698048050

LCM Calculator and
and

Least Common Multiple of 92135 and 92150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92135 and 92150, than apply into the LCM equation.

GCF(92135,92150) = 5
LCM(92135,92150) = ( 92135 × 92150) / 5
LCM(92135,92150) = 8490240250 / 5
LCM(92135,92150) = 1698048050

Least Common Multiple (LCM) of 92135 and 92150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92135 and 92150. First we will calculate the prime factors of 92135 and 92150.

Prime Factorization of 92135

Prime factors of 92135 are 5, 18427. Prime factorization of 92135 in exponential form is:

92135 = 51 × 184271

Prime Factorization of 92150

Prime factors of 92150 are 2, 5, 19, 97. Prime factorization of 92150 in exponential form is:

92150 = 21 × 52 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 92135 and 92150.

LCM(92135,92150) = 52 × 184271 × 21 × 191 × 971
LCM(92135,92150) = 1698048050