GCF and LCM Calculator Logo

What is the Least Common Multiple of 36116 and 36124?

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 36116 and 36124 is 326163596.

LCM(36116,36124) = 326163596

LCM Calculator and
and

Least Common Multiple of 36116 and 36124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36116 and 36124, than apply into the LCM equation.

GCF(36116,36124) = 4
LCM(36116,36124) = ( 36116 × 36124) / 4
LCM(36116,36124) = 1304654384 / 4
LCM(36116,36124) = 326163596

Least Common Multiple (LCM) of 36116 and 36124 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36116 and 36124. First we will calculate the prime factors of 36116 and 36124.

Prime Factorization of 36116

Prime factors of 36116 are 2, 9029. Prime factorization of 36116 in exponential form is:

36116 = 22 × 90291

Prime Factorization of 36124

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

36124 = 22 × 111 × 8211

Now multiplying the highest exponent prime factors to calculate the LCM of 36116 and 36124.

LCM(36116,36124) = 22 × 90291 × 111 × 8211
LCM(36116,36124) = 326163596