What is the Least Common Multiple of 98168 and 98182?

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 98168 and 98182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98168 and 98182, than apply into the LCM equation.

GCF(98168,98182) = 14
LCM(98168,98182) = ( 98168 × 98182) / 14
LCM(98168,98182) = 9638330576 / 14
LCM(98168,98182) = 688452184

Least Common Multiple (LCM) of 98168 and 98182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98168 and 98182. First we will calculate the prime factors of 98168 and 98182.

Prime Factorization of 98168

Prime Factorization of 98182

Now multiplying the highest exponent prime factors to calculate the LCM of 98168 and 98182.

LCM(98168,98182) = 2³ × 7¹ × 1753¹ × 7013¹
LCM(98168,98182) = 688452184