What is the Least Common Multiple of 33646 and 33656?

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 33646 and 33656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33646 and 33656, than apply into the LCM equation.

GCF(33646,33656) = 2
LCM(33646,33656) = ( 33646 × 33656) / 2
LCM(33646,33656) = 1132389776 / 2
LCM(33646,33656) = 566194888

Least Common Multiple (LCM) of 33646 and 33656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33646 and 33656. First we will calculate the prime factors of 33646 and 33656.

Prime Factorization of 33646

Prime Factorization of 33656

Now multiplying the highest exponent prime factors to calculate the LCM of 33646 and 33656.

LCM(33646,33656) = 2³ × 16823¹ × 7¹ × 601¹
LCM(33646,33656) = 566194888