What is the Least Common Multiple of 32644 and 32656?

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 of 32644 and 32656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32644 and 32656, than apply into the LCM equation.

GCF(32644,32656) = 4
LCM(32644,32656) = ( 32644 × 32656) / 4
LCM(32644,32656) = 1066022464 / 4
LCM(32644,32656) = 266505616

Least Common Multiple (LCM) of 32644 and 32656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32644 and 32656. First we will calculate the prime factors of 32644 and 32656.

Prime Factorization of 32644

Prime Factorization of 32656

Now multiplying the highest exponent prime factors to calculate the LCM of 32644 and 32656.

LCM(32644,32656) = 2⁴ × 8161¹ × 13¹ × 157¹
LCM(32644,32656) = 266505616