What is the Least Common Multiple of 99129 and 99138?

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 99129 and 99138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99129 and 99138, than apply into the LCM equation.

GCF(99129,99138) = 3
LCM(99129,99138) = ( 99129 × 99138) / 3
LCM(99129,99138) = 9827450802 / 3
LCM(99129,99138) = 3275816934

Least Common Multiple (LCM) of 99129 and 99138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99129 and 99138. First we will calculate the prime factors of 99129 and 99138.

Prime Factorization of 99129

Prime Factorization of 99138

Now multiplying the highest exponent prime factors to calculate the LCM of 99129 and 99138.

LCM(99129,99138) = 3¹ × 173¹ × 191¹ × 2¹ × 13¹ × 31¹ × 41¹
LCM(99129,99138) = 3275816934