What is the Least Common Multiple of 98123 and 98137?

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 98137 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 98137, than apply into the LCM equation.

GCF(98123,98137) = 1
LCM(98123,98137) = ( 98123 × 98137) / 1
LCM(98123,98137) = 9629496851 / 1
LCM(98123,98137) = 9629496851

Least Common Multiple (LCM) of 98123 and 98137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98123 and 98137. First we will calculate the prime factors of 98123 and 98137.

Prime Factorization of 98123

Prime Factorization of 98137

Now multiplying the highest exponent prime factors to calculate the LCM of 98123 and 98137.

LCM(98123,98137) = 98123¹ × 13¹ × 7549¹
LCM(98123,98137) = 9629496851