What is the Least Common Multiple of 99478 and 99489?

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 99478 and 99489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99478 and 99489, than apply into the LCM equation.

GCF(99478,99489) = 1
LCM(99478,99489) = ( 99478 × 99489) / 1
LCM(99478,99489) = 9896966742 / 1
LCM(99478,99489) = 9896966742

Least Common Multiple (LCM) of 99478 and 99489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99478 and 99489. First we will calculate the prime factors of 99478 and 99489.

Prime Factorization of 99478

Prime Factorization of 99489

Now multiplying the highest exponent prime factors to calculate the LCM of 99478 and 99489.

LCM(99478,99489) = 2¹ × 49739¹ × 3¹ × 13¹ × 2551¹
LCM(99478,99489) = 9896966742