What is the Least Common Multiple of 75768 and 75783?

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 75768 and 75783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75768 and 75783, than apply into the LCM equation.

GCF(75768,75783) = 3
LCM(75768,75783) = ( 75768 × 75783) / 3
LCM(75768,75783) = 5741926344 / 3
LCM(75768,75783) = 1913975448

Least Common Multiple (LCM) of 75768 and 75783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75768 and 75783. First we will calculate the prime factors of 75768 and 75783.

Prime Factorization of 75768

Prime Factorization of 75783

Now multiplying the highest exponent prime factors to calculate the LCM of 75768 and 75783.

LCM(75768,75783) = 2³ × 3¹ × 7¹ × 11¹ × 41¹ × 25261¹
LCM(75768,75783) = 1913975448