What is the Least Common Multiple of 98502 and 98521?

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 98502 and 98521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98502 and 98521, than apply into the LCM equation.

GCF(98502,98521) = 1
LCM(98502,98521) = ( 98502 × 98521) / 1
LCM(98502,98521) = 9704515542 / 1
LCM(98502,98521) = 9704515542

Least Common Multiple (LCM) of 98502 and 98521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98502 and 98521. First we will calculate the prime factors of 98502 and 98521.

Prime Factorization of 98502

Prime Factorization of 98521

Now multiplying the highest exponent prime factors to calculate the LCM of 98502 and 98521.

LCM(98502,98521) = 2¹ × 3¹ × 16417¹ × 83¹ × 1187¹
LCM(98502,98521) = 9704515542