What is the Least Common Multiple of 99144 and 99163?

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 99144 and 99163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99144 and 99163, than apply into the LCM equation.

GCF(99144,99163) = 1
LCM(99144,99163) = ( 99144 × 99163) / 1
LCM(99144,99163) = 9831416472 / 1
LCM(99144,99163) = 9831416472

Least Common Multiple (LCM) of 99144 and 99163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99144 and 99163. First we will calculate the prime factors of 99144 and 99163.

Prime Factorization of 99144

Prime Factorization of 99163

Now multiplying the highest exponent prime factors to calculate the LCM of 99144 and 99163.

LCM(99144,99163) = 2³ × 3⁶ × 17¹ × 53¹ × 1871¹
LCM(99144,99163) = 9831416472