What is the Least Common Multiple of 98456 and 98474?

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 98456 and 98474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98456 and 98474, than apply into the LCM equation.

GCF(98456,98474) = 2
LCM(98456,98474) = ( 98456 × 98474) / 2
LCM(98456,98474) = 9695356144 / 2
LCM(98456,98474) = 4847678072

Least Common Multiple (LCM) of 98456 and 98474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98456 and 98474. First we will calculate the prime factors of 98456 and 98474.

Prime Factorization of 98456

Prime Factorization of 98474

Now multiplying the highest exponent prime factors to calculate the LCM of 98456 and 98474.

LCM(98456,98474) = 2³ × 31¹ × 397¹ × 53¹ × 929¹
LCM(98456,98474) = 4847678072