What is the Least Common Multiple of 99153 and 99167?

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 99153 and 99167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99153 and 99167, than apply into the LCM equation.

GCF(99153,99167) = 1
LCM(99153,99167) = ( 99153 × 99167) / 1
LCM(99153,99167) = 9832705551 / 1
LCM(99153,99167) = 9832705551

Least Common Multiple (LCM) of 99153 and 99167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99153 and 99167. First we will calculate the prime factors of 99153 and 99167.

Prime Factorization of 99153

Prime Factorization of 99167

Now multiplying the highest exponent prime factors to calculate the LCM of 99153 and 99167.

LCM(99153,99167) = 3² × 23¹ × 479¹ × 131¹ × 757¹
LCM(99153,99167) = 9832705551