What is the Least Common Multiple of 98523 and 98540?

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 98540 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 98540, than apply into the LCM equation.

GCF(98523,98540) = 1
LCM(98523,98540) = ( 98523 × 98540) / 1
LCM(98523,98540) = 9708456420 / 1
LCM(98523,98540) = 9708456420

Least Common Multiple (LCM) of 98523 and 98540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98523 and 98540. First we will calculate the prime factors of 98523 and 98540.

Prime Factorization of 98523

Prime Factorization of 98540

Now multiplying the highest exponent prime factors to calculate the LCM of 98523 and 98540.

LCM(98523,98540) = 3³ × 41¹ × 89¹ × 2² × 5¹ × 13¹ × 379¹
LCM(98523,98540) = 9708456420