What is the Least Common Multiple of 98582 and 98602?

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 98582 and 98602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98582 and 98602, than apply into the LCM equation.

GCF(98582,98602) = 2
LCM(98582,98602) = ( 98582 × 98602) / 2
LCM(98582,98602) = 9720382364 / 2
LCM(98582,98602) = 4860191182

Least Common Multiple (LCM) of 98582 and 98602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98582 and 98602. First we will calculate the prime factors of 98582 and 98602.

Prime Factorization of 98582

Prime Factorization of 98602

Now multiplying the highest exponent prime factors to calculate the LCM of 98582 and 98602.

LCM(98582,98602) = 2¹ × 11¹ × 4481¹ × 7¹ × 7043¹
LCM(98582,98602) = 4860191182