What is the Least Common Multiple of 98446 and 98464?

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 98446 and 98464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98446 and 98464, than apply into the LCM equation.

GCF(98446,98464) = 2
LCM(98446,98464) = ( 98446 × 98464) / 2
LCM(98446,98464) = 9693386944 / 2
LCM(98446,98464) = 4846693472

Least Common Multiple (LCM) of 98446 and 98464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98446 and 98464. First we will calculate the prime factors of 98446 and 98464.

Prime Factorization of 98446

Prime Factorization of 98464

Now multiplying the highest exponent prime factors to calculate the LCM of 98446 and 98464.

LCM(98446,98464) = 2⁵ × 49223¹ × 17¹ × 181¹
LCM(98446,98464) = 4846693472