What is the Least Common Multiple of 98971 and 98986?

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 98971 and 98986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98971 and 98986, than apply into the LCM equation.

GCF(98971,98986) = 1
LCM(98971,98986) = ( 98971 × 98986) / 1
LCM(98971,98986) = 9796743406 / 1
LCM(98971,98986) = 9796743406

Least Common Multiple (LCM) of 98971 and 98986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98971 and 98986. First we will calculate the prime factors of 98971 and 98986.

Prime Factorization of 98971

Prime Factorization of 98986

Now multiplying the highest exponent prime factors to calculate the LCM of 98971 and 98986.

LCM(98971,98986) = 19¹ × 5209¹ × 2¹ × 43¹ × 1151¹
LCM(98971,98986) = 9796743406