GCF and LCM Calculator Logo

What is the Least Common Multiple of 36124 and 36136?

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 36124 and 36136 is 326344216.

LCM(36124,36136) = 326344216

LCM Calculator and
and

Least Common Multiple of 36124 and 36136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36124 and 36136, than apply into the LCM equation.

GCF(36124,36136) = 4
LCM(36124,36136) = ( 36124 × 36136) / 4
LCM(36124,36136) = 1305376864 / 4
LCM(36124,36136) = 326344216

Least Common Multiple (LCM) of 36124 and 36136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36124 and 36136. First we will calculate the prime factors of 36124 and 36136.

Prime Factorization of 36124

Prime factors of 36124 are 2, 11, 821. Prime factorization of 36124 in exponential form is:

36124 = 22 × 111 × 8211

Prime Factorization of 36136

Prime factors of 36136 are 2, 4517. Prime factorization of 36136 in exponential form is:

36136 = 23 × 45171

Now multiplying the highest exponent prime factors to calculate the LCM of 36124 and 36136.

LCM(36124,36136) = 23 × 111 × 8211 × 45171
LCM(36124,36136) = 326344216