What is the Least Common Multiple of 98025 and 98030?

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 98030 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 98030, than apply into the LCM equation.

GCF(98025,98030) = 5
LCM(98025,98030) = ( 98025 × 98030) / 5
LCM(98025,98030) = 9609390750 / 5
LCM(98025,98030) = 1921878150

Least Common Multiple (LCM) of 98025 and 98030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98025 and 98030. First we will calculate the prime factors of 98025 and 98030.

Prime Factorization of 98025

Prime Factorization of 98030

Now multiplying the highest exponent prime factors to calculate the LCM of 98025 and 98030.

LCM(98025,98030) = 3¹ × 5² × 1307¹ × 2¹ × 9803¹
LCM(98025,98030) = 1921878150