What is the Least Common Multiple of 9639 and 9656?

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 9639 and 9656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9639 and 9656, than apply into the LCM equation.

GCF(9639,9656) = 17
LCM(9639,9656) = ( 9639 × 9656) / 17
LCM(9639,9656) = 93074184 / 17
LCM(9639,9656) = 5474952

Least Common Multiple (LCM) of 9639 and 9656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9639 and 9656. First we will calculate the prime factors of 9639 and 9656.

Prime Factorization of 9639

Prime Factorization of 9656

Now multiplying the highest exponent prime factors to calculate the LCM of 9639 and 9656.

LCM(9639,9656) = 3⁴ × 7¹ × 17¹ × 2³ × 71¹
LCM(9639,9656) = 5474952