What is the Least Common Multiple of 98466 and 98472?

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 98466 and 98472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98466 and 98472, than apply into the LCM equation.

GCF(98466,98472) = 6
LCM(98466,98472) = ( 98466 × 98472) / 6
LCM(98466,98472) = 9696143952 / 6
LCM(98466,98472) = 1616023992

Least Common Multiple (LCM) of 98466 and 98472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98466 and 98472. First we will calculate the prime factors of 98466 and 98472.

Prime Factorization of 98466

Prime Factorization of 98472

Now multiplying the highest exponent prime factors to calculate the LCM of 98466 and 98472.

LCM(98466,98472) = 2³ × 3¹ × 16411¹ × 11¹ × 373¹
LCM(98466,98472) = 1616023992