What is the Least Common Multiple of 75856 and 75867?

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 75856 and 75867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75856 and 75867, than apply into the LCM equation.

GCF(75856,75867) = 11
LCM(75856,75867) = ( 75856 × 75867) / 11
LCM(75856,75867) = 5754967152 / 11
LCM(75856,75867) = 523178832

Least Common Multiple (LCM) of 75856 and 75867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75856 and 75867. First we will calculate the prime factors of 75856 and 75867.

Prime Factorization of 75856

Prime Factorization of 75867

Now multiplying the highest exponent prime factors to calculate the LCM of 75856 and 75867.

LCM(75856,75867) = 2⁴ × 11³ × 431¹ × 3¹ × 19¹
LCM(75856,75867) = 523178832