What is the Least Common Multiple of 98576 and 98580?

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 98576 and 98580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98576 and 98580, than apply into the LCM equation.

GCF(98576,98580) = 4
LCM(98576,98580) = ( 98576 × 98580) / 4
LCM(98576,98580) = 9717622080 / 4
LCM(98576,98580) = 2429405520

Least Common Multiple (LCM) of 98576 and 98580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98576 and 98580. First we will calculate the prime factors of 98576 and 98580.

Prime Factorization of 98576

Prime Factorization of 98580

Now multiplying the highest exponent prime factors to calculate the LCM of 98576 and 98580.

LCM(98576,98580) = 2⁴ × 61¹ × 101¹ × 3¹ × 5¹ × 31¹ × 53¹
LCM(98576,98580) = 2429405520