What is the Least Common Multiple of 89604 and 89624?

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 89604 and 89624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89604 and 89624, than apply into the LCM equation.

GCF(89604,89624) = 4
LCM(89604,89624) = ( 89604 × 89624) / 4
LCM(89604,89624) = 8030668896 / 4
LCM(89604,89624) = 2007667224

Least Common Multiple (LCM) of 89604 and 89624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89604 and 89624. First we will calculate the prime factors of 89604 and 89624.

Prime Factorization of 89604

Prime Factorization of 89624

Now multiplying the highest exponent prime factors to calculate the LCM of 89604 and 89624.

LCM(89604,89624) = 2³ × 3² × 19¹ × 131¹ × 17¹ × 659¹
LCM(89604,89624) = 2007667224