What is the Least Common Multiple of 98790 and 98799?

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 98790 and 98799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98790 and 98799, than apply into the LCM equation.

GCF(98790,98799) = 3
LCM(98790,98799) = ( 98790 × 98799) / 3
LCM(98790,98799) = 9760353210 / 3
LCM(98790,98799) = 3253451070

Least Common Multiple (LCM) of 98790 and 98799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98790 and 98799. First we will calculate the prime factors of 98790 and 98799.

Prime Factorization of 98790

Prime Factorization of 98799

Now multiplying the highest exponent prime factors to calculate the LCM of 98790 and 98799.

LCM(98790,98799) = 2¹ × 3¹ × 5¹ × 37¹ × 89¹ × 32933¹
LCM(98790,98799) = 3253451070