What is the Least Common Multiple of 75032 and 75051?

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 75032 and 75051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75032 and 75051, than apply into the LCM equation.

GCF(75032,75051) = 1
LCM(75032,75051) = ( 75032 × 75051) / 1
LCM(75032,75051) = 5631226632 / 1
LCM(75032,75051) = 5631226632

Least Common Multiple (LCM) of 75032 and 75051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75032 and 75051. First we will calculate the prime factors of 75032 and 75051.

Prime Factorization of 75032

Prime Factorization of 75051

Now multiplying the highest exponent prime factors to calculate the LCM of 75032 and 75051.

LCM(75032,75051) = 2³ × 83¹ × 113¹ × 3² × 31¹ × 269¹
LCM(75032,75051) = 5631226632