What is the Least Common Multiple of 98598 and 98614?

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 98598 and 98614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98598 and 98614, than apply into the LCM equation.

GCF(98598,98614) = 2
LCM(98598,98614) = ( 98598 × 98614) / 2
LCM(98598,98614) = 9723143172 / 2
LCM(98598,98614) = 4861571586

Least Common Multiple (LCM) of 98598 and 98614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98598 and 98614. First we will calculate the prime factors of 98598 and 98614.

Prime Factorization of 98598

Prime Factorization of 98614

Now multiplying the highest exponent prime factors to calculate the LCM of 98598 and 98614.

LCM(98598,98614) = 2¹ × 3¹ × 16433¹ × 49307¹
LCM(98598,98614) = 4861571586