What is the Least Common Multiple of 98464 and 98475?

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 98464 and 98475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98464 and 98475, than apply into the LCM equation.

GCF(98464,98475) = 1
LCM(98464,98475) = ( 98464 × 98475) / 1
LCM(98464,98475) = 9696242400 / 1
LCM(98464,98475) = 9696242400

Least Common Multiple (LCM) of 98464 and 98475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98464 and 98475. First we will calculate the prime factors of 98464 and 98475.

Prime Factorization of 98464

Prime Factorization of 98475

Now multiplying the highest exponent prime factors to calculate the LCM of 98464 and 98475.

LCM(98464,98475) = 2⁵ × 17¹ × 181¹ × 3¹ × 5² × 13¹ × 101¹
LCM(98464,98475) = 9696242400