What is the Least Common Multiple of 75268 and 75272?

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 75268 and 75272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75268 and 75272, than apply into the LCM equation.

GCF(75268,75272) = 4
LCM(75268,75272) = ( 75268 × 75272) / 4
LCM(75268,75272) = 5665572896 / 4
LCM(75268,75272) = 1416393224

Least Common Multiple (LCM) of 75268 and 75272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75268 and 75272. First we will calculate the prime factors of 75268 and 75272.

Prime Factorization of 75268

Prime Factorization of 75272

Now multiplying the highest exponent prime factors to calculate the LCM of 75268 and 75272.

LCM(75268,75272) = 2³ × 31¹ × 607¹ × 97²
LCM(75268,75272) = 1416393224