What is the Least Common Multiple of 75238 and 75251?

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 75238 and 75251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75238 and 75251, than apply into the LCM equation.

GCF(75238,75251) = 1
LCM(75238,75251) = ( 75238 × 75251) / 1
LCM(75238,75251) = 5661734738 / 1
LCM(75238,75251) = 5661734738

Least Common Multiple (LCM) of 75238 and 75251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75238 and 75251. First we will calculate the prime factors of 75238 and 75251.

Prime Factorization of 75238

Prime Factorization of 75251

Now multiplying the highest exponent prime factors to calculate the LCM of 75238 and 75251.

LCM(75238,75251) = 2¹ × 37619¹ × 11¹ × 6841¹
LCM(75238,75251) = 5661734738