GCF and LCM Calculator Logo

What is the Least Common Multiple of 11718 and 11722?

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 11718 and 11722 is 68679198.

LCM(11718,11722) = 68679198

LCM Calculator and
and

Least Common Multiple of 11718 and 11722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11718 and 11722, than apply into the LCM equation.

GCF(11718,11722) = 2
LCM(11718,11722) = ( 11718 × 11722) / 2
LCM(11718,11722) = 137358396 / 2
LCM(11718,11722) = 68679198

Least Common Multiple (LCM) of 11718 and 11722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11718 and 11722. First we will calculate the prime factors of 11718 and 11722.

Prime Factorization of 11718

Prime factors of 11718 are 2, 3, 7, 31. Prime factorization of 11718 in exponential form is:

11718 = 21 × 33 × 71 × 311

Prime Factorization of 11722

Prime factors of 11722 are 2, 5861. Prime factorization of 11722 in exponential form is:

11722 = 21 × 58611

Now multiplying the highest exponent prime factors to calculate the LCM of 11718 and 11722.

LCM(11718,11722) = 21 × 33 × 71 × 311 × 58611
LCM(11718,11722) = 68679198