What is the Least Common Multiple of 98498 and 98512?

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 98498 and 98512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98498 and 98512, than apply into the LCM equation.

GCF(98498,98512) = 2
LCM(98498,98512) = ( 98498 × 98512) / 2
LCM(98498,98512) = 9703234976 / 2
LCM(98498,98512) = 4851617488

Least Common Multiple (LCM) of 98498 and 98512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98498 and 98512. First we will calculate the prime factors of 98498 and 98512.

Prime Factorization of 98498

Prime Factorization of 98512

Now multiplying the highest exponent prime factors to calculate the LCM of 98498 and 98512.

LCM(98498,98512) = 2⁴ × 17¹ × 2897¹ × 47¹ × 131¹
LCM(98498,98512) = 4851617488