GCF and LCM Calculator Logo

What is the Least Common Multiple of 92307 and 92318?

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 92307 and 92318 is 8521597626.

LCM(92307,92318) = 8521597626

LCM Calculator and
and

Least Common Multiple of 92307 and 92318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92307 and 92318, than apply into the LCM equation.

GCF(92307,92318) = 1
LCM(92307,92318) = ( 92307 × 92318) / 1
LCM(92307,92318) = 8521597626 / 1
LCM(92307,92318) = 8521597626

Least Common Multiple (LCM) of 92307 and 92318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92307 and 92318. First we will calculate the prime factors of 92307 and 92318.

Prime Factorization of 92307

Prime factors of 92307 are 3, 29, 1061. Prime factorization of 92307 in exponential form is:

92307 = 31 × 291 × 10611

Prime Factorization of 92318

Prime factors of 92318 are 2, 31, 1489. Prime factorization of 92318 in exponential form is:

92318 = 21 × 311 × 14891

Now multiplying the highest exponent prime factors to calculate the LCM of 92307 and 92318.

LCM(92307,92318) = 31 × 291 × 10611 × 21 × 311 × 14891
LCM(92307,92318) = 8521597626