What is the Least Common Multiple of 9684 and 9688?

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 9684 and 9688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9684 and 9688, than apply into the LCM equation.

GCF(9684,9688) = 4
LCM(9684,9688) = ( 9684 × 9688) / 4
LCM(9684,9688) = 93818592 / 4
LCM(9684,9688) = 23454648

Least Common Multiple (LCM) of 9684 and 9688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9684 and 9688. First we will calculate the prime factors of 9684 and 9688.

Prime Factorization of 9684

Prime Factorization of 9688

Now multiplying the highest exponent prime factors to calculate the LCM of 9684 and 9688.

LCM(9684,9688) = 2³ × 3² × 269¹ × 7¹ × 173¹
LCM(9684,9688) = 23454648