GCF and LCM Calculator Logo

What is the Least Common Multiple of 92495 and 92505?

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 92505 is 1711249995.

LCM(92495,92505) = 1711249995

LCM Calculator and
and

Least Common Multiple of 92495 and 92505 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 92505, than apply into the LCM equation.

GCF(92495,92505) = 5
LCM(92495,92505) = ( 92495 × 92505) / 5
LCM(92495,92505) = 8556249975 / 5
LCM(92495,92505) = 1711249995

Least Common Multiple (LCM) of 92495 and 92505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92495 and 92505. First we will calculate the prime factors of 92495 and 92505.

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 92505

Prime factors of 92505 are 3, 5, 7, 881. Prime factorization of 92505 in exponential form is:

92505 = 31 × 51 × 71 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 92495 and 92505.

LCM(92495,92505) = 51 × 131 × 14231 × 31 × 71 × 8811
LCM(92495,92505) = 1711249995