GCF and LCM Calculator Logo

What is the Least Common Multiple of 92495 and 92502?

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 92495 and 92502 is 8555972490.

LCM(92495,92502) = 8555972490

LCM Calculator and
and

Least Common Multiple of 92495 and 92502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92495 and 92502, than apply into the LCM equation.

GCF(92495,92502) = 1
LCM(92495,92502) = ( 92495 × 92502) / 1
LCM(92495,92502) = 8555972490 / 1
LCM(92495,92502) = 8555972490

Least Common Multiple (LCM) of 92495 and 92502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92495 and 92502. First we will calculate the prime factors of 92495 and 92502.

Prime Factorization of 92495

Prime factors of 92495 are 5, 13, 1423. Prime factorization of 92495 in exponential form is:

92495 = 51 × 131 × 14231

Prime Factorization of 92502

Prime factors of 92502 are 2, 3, 571. Prime factorization of 92502 in exponential form is:

92502 = 21 × 34 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 92495 and 92502.

LCM(92495,92502) = 51 × 131 × 14231 × 21 × 34 × 5711
LCM(92495,92502) = 8555972490