What is the Least Common Multiple of 98664 and 98671?

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 98664 and 98671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98664 and 98671, than apply into the LCM equation.

GCF(98664,98671) = 1
LCM(98664,98671) = ( 98664 × 98671) / 1
LCM(98664,98671) = 9735275544 / 1
LCM(98664,98671) = 9735275544

Least Common Multiple (LCM) of 98664 and 98671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98664 and 98671. First we will calculate the prime factors of 98664 and 98671.

Prime Factorization of 98664

Prime Factorization of 98671

Now multiplying the highest exponent prime factors to calculate the LCM of 98664 and 98671.

LCM(98664,98671) = 2³ × 3¹ × 4111¹ × 79¹ × 1249¹
LCM(98664,98671) = 9735275544