What is the Least Common Multiple of 75255 and 75264?

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 75255 and 75264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75255 and 75264, than apply into the LCM equation.

GCF(75255,75264) = 3
LCM(75255,75264) = ( 75255 × 75264) / 3
LCM(75255,75264) = 5663992320 / 3
LCM(75255,75264) = 1887997440

Least Common Multiple (LCM) of 75255 and 75264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75255 and 75264. First we will calculate the prime factors of 75255 and 75264.

Prime Factorization of 75255

Prime Factorization of 75264

Now multiplying the highest exponent prime factors to calculate the LCM of 75255 and 75264.

LCM(75255,75264) = 3¹ × 5¹ × 29¹ × 173¹ × 2⁹ × 7²
LCM(75255,75264) = 1887997440