GCF and LCM Calculator Logo

What is the Least Common Multiple of 92132 and 92149?

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 92132 and 92149 is 8489871668.

LCM(92132,92149) = 8489871668

LCM Calculator and
and

Least Common Multiple of 92132 and 92149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92132 and 92149, than apply into the LCM equation.

GCF(92132,92149) = 1
LCM(92132,92149) = ( 92132 × 92149) / 1
LCM(92132,92149) = 8489871668 / 1
LCM(92132,92149) = 8489871668

Least Common Multiple (LCM) of 92132 and 92149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92132 and 92149. First we will calculate the prime factors of 92132 and 92149.

Prime Factorization of 92132

Prime factors of 92132 are 2, 31, 743. Prime factorization of 92132 in exponential form is:

92132 = 22 × 311 × 7431

Prime Factorization of 92149

Prime factors of 92149 are 43, 2143. Prime factorization of 92149 in exponential form is:

92149 = 431 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 92132 and 92149.

LCM(92132,92149) = 22 × 311 × 7431 × 431 × 21431
LCM(92132,92149) = 8489871668