What is the Least Common Multiple of 98728 and 98744?

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 98728 and 98744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98728 and 98744, than apply into the LCM equation.

GCF(98728,98744) = 8
LCM(98728,98744) = ( 98728 × 98744) / 8
LCM(98728,98744) = 9748797632 / 8
LCM(98728,98744) = 1218599704

Least Common Multiple (LCM) of 98728 and 98744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98728 and 98744. First we will calculate the prime factors of 98728 and 98744.

Prime Factorization of 98728

Prime Factorization of 98744

Now multiplying the highest exponent prime factors to calculate the LCM of 98728 and 98744.

LCM(98728,98744) = 2³ × 7¹ × 41¹ × 43¹ × 12343¹
LCM(98728,98744) = 1218599704