What is the Least Common Multiple of 98523 and 98542?

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 98542 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 98542, than apply into the LCM equation.

GCF(98523,98542) = 1
LCM(98523,98542) = ( 98523 × 98542) / 1
LCM(98523,98542) = 9708653466 / 1
LCM(98523,98542) = 9708653466

Least Common Multiple (LCM) of 98523 and 98542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98523 and 98542. First we will calculate the prime factors of 98523 and 98542.

Prime Factorization of 98523

Prime Factorization of 98542

Now multiplying the highest exponent prime factors to calculate the LCM of 98523 and 98542.

LCM(98523,98542) = 3³ × 41¹ × 89¹ × 2¹ × 29¹ × 1699¹
LCM(98523,98542) = 9708653466