What is the Least Common Multiple of 98345 and 98358?

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 98345 and 98358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98345 and 98358, than apply into the LCM equation.

GCF(98345,98358) = 13
LCM(98345,98358) = ( 98345 × 98358) / 13
LCM(98345,98358) = 9673017510 / 13
LCM(98345,98358) = 744078270

Least Common Multiple (LCM) of 98345 and 98358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98345 and 98358. First we will calculate the prime factors of 98345 and 98358.

Prime Factorization of 98345

Prime Factorization of 98358

Now multiplying the highest exponent prime factors to calculate the LCM of 98345 and 98358.

LCM(98345,98358) = 5¹ × 13² × 17¹ × 89¹ × 2¹ × 3¹ × 97¹
LCM(98345,98358) = 744078270