What is the Least Common Multiple of 75234 and 75250?

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 75234 and 75250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75234 and 75250, than apply into the LCM equation.

GCF(75234,75250) = 2
LCM(75234,75250) = ( 75234 × 75250) / 2
LCM(75234,75250) = 5661358500 / 2
LCM(75234,75250) = 2830679250

Least Common Multiple (LCM) of 75234 and 75250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75234 and 75250. First we will calculate the prime factors of 75234 and 75250.

Prime Factorization of 75234

Prime Factorization of 75250

Now multiplying the highest exponent prime factors to calculate the LCM of 75234 and 75250.

LCM(75234,75250) = 2¹ × 3¹ × 12539¹ × 5³ × 7¹ × 43¹
LCM(75234,75250) = 2830679250