What is the Least Common Multiple of 98574 and 98584?

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 98574 and 98584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98574 and 98584, than apply into the LCM equation.

GCF(98574,98584) = 2
LCM(98574,98584) = ( 98574 × 98584) / 2
LCM(98574,98584) = 9717819216 / 2
LCM(98574,98584) = 4858909608

Least Common Multiple (LCM) of 98574 and 98584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98574 and 98584. First we will calculate the prime factors of 98574 and 98584.

Prime Factorization of 98574

Prime Factorization of 98584

Now multiplying the highest exponent prime factors to calculate the LCM of 98574 and 98584.

LCM(98574,98584) = 2³ × 3¹ × 7¹ × 2347¹ × 12323¹
LCM(98574,98584) = 4858909608