What is the Least Common Multiple of 98523 and 98543?

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 98523 and 98543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98523 and 98543, than apply into the LCM equation.

GCF(98523,98543) = 1
LCM(98523,98543) = ( 98523 × 98543) / 1
LCM(98523,98543) = 9708751989 / 1
LCM(98523,98543) = 9708751989

Least Common Multiple (LCM) of 98523 and 98543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98523 and 98543. First we will calculate the prime factors of 98523 and 98543.

Prime Factorization of 98523

Prime Factorization of 98543

Now multiplying the highest exponent prime factors to calculate the LCM of 98523 and 98543.

LCM(98523,98543) = 3³ × 41¹ × 89¹ × 98543¹
LCM(98523,98543) = 9708751989