What is the Least Common Multiple of 75005 and 75010?

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 75005 and 75010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75005 and 75010, than apply into the LCM equation.

GCF(75005,75010) = 5
LCM(75005,75010) = ( 75005 × 75010) / 5
LCM(75005,75010) = 5626125050 / 5
LCM(75005,75010) = 1125225010

Least Common Multiple (LCM) of 75005 and 75010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75005 and 75010. First we will calculate the prime factors of 75005 and 75010.

Prime Factorization of 75005

Prime Factorization of 75010

Now multiplying the highest exponent prime factors to calculate the LCM of 75005 and 75010.

LCM(75005,75010) = 5¹ × 7¹ × 2143¹ × 2¹ × 13¹ × 577¹
LCM(75005,75010) = 1125225010