What is the Least Common Multiple of 98512 and 98530?

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 98512 and 98530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98512 and 98530, than apply into the LCM equation.

GCF(98512,98530) = 2
LCM(98512,98530) = ( 98512 × 98530) / 2
LCM(98512,98530) = 9706387360 / 2
LCM(98512,98530) = 4853193680

Least Common Multiple (LCM) of 98512 and 98530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98512 and 98530. First we will calculate the prime factors of 98512 and 98530.

Prime Factorization of 98512

Prime Factorization of 98530

Now multiplying the highest exponent prime factors to calculate the LCM of 98512 and 98530.

LCM(98512,98530) = 2⁴ × 47¹ × 131¹ × 5¹ × 59¹ × 167¹
LCM(98512,98530) = 4853193680