What is the Least Common Multiple of 9604 and 9614?

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 9604 and 9614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9604 and 9614, than apply into the LCM equation.

GCF(9604,9614) = 2
LCM(9604,9614) = ( 9604 × 9614) / 2
LCM(9604,9614) = 92332856 / 2
LCM(9604,9614) = 46166428

Least Common Multiple (LCM) of 9604 and 9614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9604 and 9614. First we will calculate the prime factors of 9604 and 9614.

Prime Factorization of 9604

Prime Factorization of 9614

Now multiplying the highest exponent prime factors to calculate the LCM of 9604 and 9614.

LCM(9604,9614) = 2² × 7⁴ × 11¹ × 19¹ × 23¹
LCM(9604,9614) = 46166428