What is the Least Common Multiple of 98602 and 98613?

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 98602 and 98613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98602 and 98613, than apply into the LCM equation.

GCF(98602,98613) = 1
LCM(98602,98613) = ( 98602 × 98613) / 1
LCM(98602,98613) = 9723439026 / 1
LCM(98602,98613) = 9723439026

Least Common Multiple (LCM) of 98602 and 98613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98602 and 98613. First we will calculate the prime factors of 98602 and 98613.

Prime Factorization of 98602

Prime Factorization of 98613

Now multiplying the highest exponent prime factors to calculate the LCM of 98602 and 98613.

LCM(98602,98613) = 2¹ × 7¹ × 7043¹ × 3² × 10957¹
LCM(98602,98613) = 9723439026