GCF and LCM Calculator Logo

What is the Least Common Multiple of 11614 and 11630?

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 11614 and 11630 is 67535410.

LCM(11614,11630) = 67535410

LCM Calculator and
and

Least Common Multiple of 11614 and 11630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11614 and 11630, than apply into the LCM equation.

GCF(11614,11630) = 2
LCM(11614,11630) = ( 11614 × 11630) / 2
LCM(11614,11630) = 135070820 / 2
LCM(11614,11630) = 67535410

Least Common Multiple (LCM) of 11614 and 11630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11614 and 11630. First we will calculate the prime factors of 11614 and 11630.

Prime Factorization of 11614

Prime factors of 11614 are 2, 5807. Prime factorization of 11614 in exponential form is:

11614 = 21 × 58071

Prime Factorization of 11630

Prime factors of 11630 are 2, 5, 1163. Prime factorization of 11630 in exponential form is:

11630 = 21 × 51 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 11614 and 11630.

LCM(11614,11630) = 21 × 58071 × 51 × 11631
LCM(11614,11630) = 67535410