What is the Least Common Multiple of 98340 and 98351?

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 98340 and 98351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98340 and 98351, than apply into the LCM equation.

GCF(98340,98351) = 11
LCM(98340,98351) = ( 98340 × 98351) / 11
LCM(98340,98351) = 9671837340 / 11
LCM(98340,98351) = 879257940

Least Common Multiple (LCM) of 98340 and 98351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98340 and 98351. First we will calculate the prime factors of 98340 and 98351.

Prime Factorization of 98340

Prime Factorization of 98351

Now multiplying the highest exponent prime factors to calculate the LCM of 98340 and 98351.

LCM(98340,98351) = 2² × 3¹ × 5¹ × 11¹ × 149¹ × 8941¹
LCM(98340,98351) = 879257940