What is the Least Common Multiple of 99144 and 99161?

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 99161 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 99161, than apply into the LCM equation.

GCF(99144,99161) = 17
LCM(99144,99161) = ( 99144 × 99161) / 17
LCM(99144,99161) = 9831218184 / 17
LCM(99144,99161) = 578306952

Least Common Multiple (LCM) of 99144 and 99161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99144 and 99161. First we will calculate the prime factors of 99144 and 99161.

Prime Factorization of 99144

Prime Factorization of 99161

Now multiplying the highest exponent prime factors to calculate the LCM of 99144 and 99161.

LCM(99144,99161) = 2³ × 3⁶ × 17¹ × 19¹ × 307¹
LCM(99144,99161) = 578306952