GCF and LCM Calculator Logo

What is the Least Common Multiple of 92620 and 92634?

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 92620 and 92634 is 4289880540.

LCM(92620,92634) = 4289880540

LCM Calculator and
and

Least Common Multiple of 92620 and 92634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92620 and 92634, than apply into the LCM equation.

GCF(92620,92634) = 2
LCM(92620,92634) = ( 92620 × 92634) / 2
LCM(92620,92634) = 8579761080 / 2
LCM(92620,92634) = 4289880540

Least Common Multiple (LCM) of 92620 and 92634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92620 and 92634. First we will calculate the prime factors of 92620 and 92634.

Prime Factorization of 92620

Prime factors of 92620 are 2, 5, 11, 421. Prime factorization of 92620 in exponential form is:

92620 = 22 × 51 × 111 × 4211

Prime Factorization of 92634

Prime factors of 92634 are 2, 3, 15439. Prime factorization of 92634 in exponential form is:

92634 = 21 × 31 × 154391

Now multiplying the highest exponent prime factors to calculate the LCM of 92620 and 92634.

LCM(92620,92634) = 22 × 51 × 111 × 4211 × 31 × 154391
LCM(92620,92634) = 4289880540