What is the Least Common Multiple of 98123 and 98138?

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 98123 and 98138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98123 and 98138, than apply into the LCM equation.

GCF(98123,98138) = 1
LCM(98123,98138) = ( 98123 × 98138) / 1
LCM(98123,98138) = 9629594974 / 1
LCM(98123,98138) = 9629594974

Least Common Multiple (LCM) of 98123 and 98138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98123 and 98138. First we will calculate the prime factors of 98123 and 98138.

Prime Factorization of 98123

Prime Factorization of 98138

Now multiplying the highest exponent prime factors to calculate the LCM of 98123 and 98138.

LCM(98123,98138) = 98123¹ × 2¹ × 49069¹
LCM(98123,98138) = 9629594974