What is the Least Common Multiple of 98138 and 98146?

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 98138 and 98146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98138 and 98146, than apply into the LCM equation.

GCF(98138,98146) = 2
LCM(98138,98146) = ( 98138 × 98146) / 2
LCM(98138,98146) = 9631852148 / 2
LCM(98138,98146) = 4815926074

Least Common Multiple (LCM) of 98138 and 98146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98138 and 98146. First we will calculate the prime factors of 98138 and 98146.

Prime Factorization of 98138

Prime Factorization of 98146

Now multiplying the highest exponent prime factors to calculate the LCM of 98138 and 98146.

LCM(98138,98146) = 2¹ × 49069¹ × 31¹ × 1583¹
LCM(98138,98146) = 4815926074