What is the Least Common Multiple of 98256 and 98275?

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 98256 and 98275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98256 and 98275, than apply into the LCM equation.

GCF(98256,98275) = 1
LCM(98256,98275) = ( 98256 × 98275) / 1
LCM(98256,98275) = 9656108400 / 1
LCM(98256,98275) = 9656108400

Least Common Multiple (LCM) of 98256 and 98275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98256 and 98275. First we will calculate the prime factors of 98256 and 98275.

Prime Factorization of 98256

Prime Factorization of 98275

Now multiplying the highest exponent prime factors to calculate the LCM of 98256 and 98275.

LCM(98256,98275) = 2⁴ × 3¹ × 23¹ × 89¹ × 5² × 3931¹
LCM(98256,98275) = 9656108400