What is the Least Common Multiple of 98596 and 98600?

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 98596 and 98600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98596 and 98600, than apply into the LCM equation.

GCF(98596,98600) = 4
LCM(98596,98600) = ( 98596 × 98600) / 4
LCM(98596,98600) = 9721565600 / 4
LCM(98596,98600) = 2430391400

Least Common Multiple (LCM) of 98596 and 98600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98596 and 98600. First we will calculate the prime factors of 98596 and 98600.

Prime Factorization of 98596

Prime Factorization of 98600

Now multiplying the highest exponent prime factors to calculate the LCM of 98596 and 98600.

LCM(98596,98600) = 2³ × 157² × 5² × 17¹ × 29¹
LCM(98596,98600) = 2430391400