What is the Least Common Multiple of 75009 and 75013?

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 75009 and 75013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75009 and 75013, than apply into the LCM equation.

GCF(75009,75013) = 1
LCM(75009,75013) = ( 75009 × 75013) / 1
LCM(75009,75013) = 5626650117 / 1
LCM(75009,75013) = 5626650117

Least Common Multiple (LCM) of 75009 and 75013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75009 and 75013. First we will calculate the prime factors of 75009 and 75013.

Prime Factorization of 75009

Prime Factorization of 75013

Now multiplying the highest exponent prime factors to calculate the LCM of 75009 and 75013.

LCM(75009,75013) = 3¹ × 11¹ × 2273¹ × 75013¹
LCM(75009,75013) = 5626650117