What is the Least Common Multiple of 98456 and 98468?

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 98468 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 98468, than apply into the LCM equation.

GCF(98456,98468) = 4
LCM(98456,98468) = ( 98456 × 98468) / 4
LCM(98456,98468) = 9694765408 / 4
LCM(98456,98468) = 2423691352

Least Common Multiple (LCM) of 98456 and 98468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98456 and 98468. First we will calculate the prime factors of 98456 and 98468.

Prime Factorization of 98456

Prime Factorization of 98468

Now multiplying the highest exponent prime factors to calculate the LCM of 98456 and 98468.

LCM(98456,98468) = 2³ × 31¹ × 397¹ × 103¹ × 239¹
LCM(98456,98468) = 2423691352