What is the Least Common Multiple of 98154 and 98168?

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 98154 and 98168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98154 and 98168, than apply into the LCM equation.

GCF(98154,98168) = 14
LCM(98154,98168) = ( 98154 × 98168) / 14
LCM(98154,98168) = 9635581872 / 14
LCM(98154,98168) = 688255848

Least Common Multiple (LCM) of 98154 and 98168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98154 and 98168. First we will calculate the prime factors of 98154 and 98168.

Prime Factorization of 98154

Prime Factorization of 98168

Now multiplying the highest exponent prime factors to calculate the LCM of 98154 and 98168.

LCM(98154,98168) = 2³ × 3² × 7¹ × 19¹ × 41¹ × 1753¹
LCM(98154,98168) = 688255848