What is the Least Common Multiple of 98529 and 98537?

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 98529 and 98537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98529 and 98537, than apply into the LCM equation.

GCF(98529,98537) = 1
LCM(98529,98537) = ( 98529 × 98537) / 1
LCM(98529,98537) = 9708752073 / 1
LCM(98529,98537) = 9708752073

Least Common Multiple (LCM) of 98529 and 98537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98529 and 98537. First we will calculate the prime factors of 98529 and 98537.

Prime Factorization of 98529

Prime Factorization of 98537

Now multiplying the highest exponent prime factors to calculate the LCM of 98529 and 98537.

LCM(98529,98537) = 3¹ × 32843¹ × 211¹ × 467¹
LCM(98529,98537) = 9708752073