What is the Least Common Multiple of 98025 and 98036?

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 98025 and 98036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98025 and 98036, than apply into the LCM equation.

GCF(98025,98036) = 1
LCM(98025,98036) = ( 98025 × 98036) / 1
LCM(98025,98036) = 9609978900 / 1
LCM(98025,98036) = 9609978900

Least Common Multiple (LCM) of 98025 and 98036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98025 and 98036. First we will calculate the prime factors of 98025 and 98036.

Prime Factorization of 98025

Prime Factorization of 98036

Now multiplying the highest exponent prime factors to calculate the LCM of 98025 and 98036.

LCM(98025,98036) = 3¹ × 5² × 1307¹ × 2² × 24509¹
LCM(98025,98036) = 9609978900