What is the Least Common Multiple of 98230 and 98250?

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 98230 and 98250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98230 and 98250, than apply into the LCM equation.

GCF(98230,98250) = 10
LCM(98230,98250) = ( 98230 × 98250) / 10
LCM(98230,98250) = 9651097500 / 10
LCM(98230,98250) = 965109750

Least Common Multiple (LCM) of 98230 and 98250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98230 and 98250. First we will calculate the prime factors of 98230 and 98250.

Prime Factorization of 98230

Prime Factorization of 98250

Now multiplying the highest exponent prime factors to calculate the LCM of 98230 and 98250.

LCM(98230,98250) = 2¹ × 5³ × 11¹ × 19¹ × 47¹ × 3¹ × 131¹
LCM(98230,98250) = 965109750