What is the Least Common Multiple of 98674 and 98689?

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 98674 and 98689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98674 and 98689, than apply into the LCM equation.

GCF(98674,98689) = 1
LCM(98674,98689) = ( 98674 × 98689) / 1
LCM(98674,98689) = 9738038386 / 1
LCM(98674,98689) = 9738038386

Least Common Multiple (LCM) of 98674 and 98689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98674 and 98689. First we will calculate the prime factors of 98674 and 98689.

Prime Factorization of 98674

Prime Factorization of 98689

Now multiplying the highest exponent prime factors to calculate the LCM of 98674 and 98689.

LCM(98674,98689) = 2¹ × 103¹ × 479¹ × 98689¹
LCM(98674,98689) = 9738038386