What is the Least Common Multiple of 98628 and 98633?

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 98628 and 98633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98628 and 98633, than apply into the LCM equation.

GCF(98628,98633) = 1
LCM(98628,98633) = ( 98628 × 98633) / 1
LCM(98628,98633) = 9727975524 / 1
LCM(98628,98633) = 9727975524

Least Common Multiple (LCM) of 98628 and 98633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98628 and 98633. First we will calculate the prime factors of 98628 and 98633.

Prime Factorization of 98628

Prime Factorization of 98633

Now multiplying the highest exponent prime factors to calculate the LCM of 98628 and 98633.

LCM(98628,98633) = 2² × 3¹ × 8219¹ × 53¹ × 1861¹
LCM(98628,98633) = 9727975524