GCF and LCM Calculator Logo

What is the Least Common Multiple of 11621 and 11634?

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 11621 and 11634 is 135198714.

LCM(11621,11634) = 135198714

LCM Calculator and
and

Least Common Multiple of 11621 and 11634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11621 and 11634, than apply into the LCM equation.

GCF(11621,11634) = 1
LCM(11621,11634) = ( 11621 × 11634) / 1
LCM(11621,11634) = 135198714 / 1
LCM(11621,11634) = 135198714

Least Common Multiple (LCM) of 11621 and 11634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11621 and 11634. First we will calculate the prime factors of 11621 and 11634.

Prime Factorization of 11621

Prime factors of 11621 are 11621. Prime factorization of 11621 in exponential form is:

11621 = 116211

Prime Factorization of 11634

Prime factors of 11634 are 2, 3, 7, 277. Prime factorization of 11634 in exponential form is:

11634 = 21 × 31 × 71 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 11621 and 11634.

LCM(11621,11634) = 116211 × 21 × 31 × 71 × 2771
LCM(11621,11634) = 135198714