What is the Least Common Multiple of 75253 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 75253 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 75253 and 75264, than apply into the LCM equation.

GCF(75253,75264) = 1
LCM(75253,75264) = ( 75253 × 75264) / 1
LCM(75253,75264) = 5663841792 / 1
LCM(75253,75264) = 5663841792

Least Common Multiple (LCM) of 75253 and 75264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75253 and 75264. First we will calculate the prime factors of 75253 and 75264.

Prime Factorization of 75253

Prime Factorization of 75264

Now multiplying the highest exponent prime factors to calculate the LCM of 75253 and 75264.

LCM(75253,75264) = 75253¹ × 2⁹ × 3¹ × 7²
LCM(75253,75264) = 5663841792