What is the Least Common Multiple of 99138 and 99147?

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 99138 and 99147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99138 and 99147, than apply into the LCM equation.

GCF(99138,99147) = 3
LCM(99138,99147) = ( 99138 × 99147) / 3
LCM(99138,99147) = 9829235286 / 3
LCM(99138,99147) = 3276411762

Least Common Multiple (LCM) of 99138 and 99147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99138 and 99147. First we will calculate the prime factors of 99138 and 99147.

Prime Factorization of 99138

Prime Factorization of 99147

Now multiplying the highest exponent prime factors to calculate the LCM of 99138 and 99147.

LCM(99138,99147) = 2¹ × 3¹ × 13¹ × 31¹ × 41¹ × 33049¹
LCM(99138,99147) = 3276411762