GCF and LCM Calculator Logo

What is the Least Common Multiple of 23656 and 23666?

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 23656 and 23666 is 279921448.

LCM(23656,23666) = 279921448

LCM Calculator and
and

Least Common Multiple of 23656 and 23666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23656 and 23666, than apply into the LCM equation.

GCF(23656,23666) = 2
LCM(23656,23666) = ( 23656 × 23666) / 2
LCM(23656,23666) = 559842896 / 2
LCM(23656,23666) = 279921448

Least Common Multiple (LCM) of 23656 and 23666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23656 and 23666. First we will calculate the prime factors of 23656 and 23666.

Prime Factorization of 23656

Prime factors of 23656 are 2, 2957. Prime factorization of 23656 in exponential form is:

23656 = 23 × 29571

Prime Factorization of 23666

Prime factors of 23666 are 2, 11833. Prime factorization of 23666 in exponential form is:

23666 = 21 × 118331

Now multiplying the highest exponent prime factors to calculate the LCM of 23656 and 23666.

LCM(23656,23666) = 23 × 29571 × 118331
LCM(23656,23666) = 279921448