What is the Least Common Multiple of 34647 and 34656?

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 34647 and 34656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34647 and 34656, than apply into the LCM equation.

GCF(34647,34656) = 3
LCM(34647,34656) = ( 34647 × 34656) / 3
LCM(34647,34656) = 1200726432 / 3
LCM(34647,34656) = 400242144

Least Common Multiple (LCM) of 34647 and 34656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34647 and 34656. First we will calculate the prime factors of 34647 and 34656.

Prime Factorization of 34647

Prime Factorization of 34656

Now multiplying the highest exponent prime factors to calculate the LCM of 34647 and 34656.

LCM(34647,34656) = 3¹ × 11549¹ × 2⁵ × 19²
LCM(34647,34656) = 400242144