What is the Least Common Multiple of 98125 and 98134?

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 98125 and 98134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98125 and 98134, than apply into the LCM equation.

GCF(98125,98134) = 1
LCM(98125,98134) = ( 98125 × 98134) / 1
LCM(98125,98134) = 9629398750 / 1
LCM(98125,98134) = 9629398750

Least Common Multiple (LCM) of 98125 and 98134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98125 and 98134. First we will calculate the prime factors of 98125 and 98134.

Prime Factorization of 98125

Prime Factorization of 98134

Now multiplying the highest exponent prime factors to calculate the LCM of 98125 and 98134.

LCM(98125,98134) = 5⁴ × 157¹ × 2¹ × 139¹ × 353¹
LCM(98125,98134) = 9629398750