What is the Least Common Multiple of 75013 and 75032?

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 75013 and 75032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75013 and 75032, than apply into the LCM equation.

GCF(75013,75032) = 1
LCM(75013,75032) = ( 75013 × 75032) / 1
LCM(75013,75032) = 5628375416 / 1
LCM(75013,75032) = 5628375416

Least Common Multiple (LCM) of 75013 and 75032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75013 and 75032. First we will calculate the prime factors of 75013 and 75032.

Prime Factorization of 75013

Prime Factorization of 75032

Now multiplying the highest exponent prime factors to calculate the LCM of 75013 and 75032.

LCM(75013,75032) = 75013¹ × 2³ × 83¹ × 113¹
LCM(75013,75032) = 5628375416