What is the Least Common Multiple of 99489 and 99494?

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 99489 and 99494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99489 and 99494, than apply into the LCM equation.

GCF(99489,99494) = 1
LCM(99489,99494) = ( 99489 × 99494) / 1
LCM(99489,99494) = 9898558566 / 1
LCM(99489,99494) = 9898558566

Least Common Multiple (LCM) of 99489 and 99494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99489 and 99494. First we will calculate the prime factors of 99489 and 99494.

Prime Factorization of 99489

Prime Factorization of 99494

Now multiplying the highest exponent prime factors to calculate the LCM of 99489 and 99494.

LCM(99489,99494) = 3¹ × 13¹ × 2551¹ × 2¹ × 49747¹
LCM(99489,99494) = 9898558566