What is the Least Common Multiple of 75010 and 75025?

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 75010 and 75025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75010 and 75025, than apply into the LCM equation.

GCF(75010,75025) = 5
LCM(75010,75025) = ( 75010 × 75025) / 5
LCM(75010,75025) = 5627625250 / 5
LCM(75010,75025) = 1125525050

Least Common Multiple (LCM) of 75010 and 75025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75010 and 75025. First we will calculate the prime factors of 75010 and 75025.

Prime Factorization of 75010

Prime Factorization of 75025

Now multiplying the highest exponent prime factors to calculate the LCM of 75010 and 75025.

LCM(75010,75025) = 2¹ × 5² × 13¹ × 577¹ × 3001¹
LCM(75010,75025) = 1125525050