GCF and LCM Calculator Logo

What is the Least Common Multiple of 8642 and 8656?

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 8642 and 8656 is 37402576.

LCM(8642,8656) = 37402576

LCM Calculator and
and

Least Common Multiple of 8642 and 8656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8642 and 8656, than apply into the LCM equation.

GCF(8642,8656) = 2
LCM(8642,8656) = ( 8642 × 8656) / 2
LCM(8642,8656) = 74805152 / 2
LCM(8642,8656) = 37402576

Least Common Multiple (LCM) of 8642 and 8656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8642 and 8656. First we will calculate the prime factors of 8642 and 8656.

Prime Factorization of 8642

Prime factors of 8642 are 2, 29, 149. Prime factorization of 8642 in exponential form is:

8642 = 21 × 291 × 1491

Prime Factorization of 8656

Prime factors of 8656 are 2, 541. Prime factorization of 8656 in exponential form is:

8656 = 24 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 8642 and 8656.

LCM(8642,8656) = 24 × 291 × 1491 × 5411
LCM(8642,8656) = 37402576