What is the Least Common Multiple of 75894 and 75906?

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 75894 and 75906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75894 and 75906, than apply into the LCM equation.

GCF(75894,75906) = 6
LCM(75894,75906) = ( 75894 × 75906) / 6
LCM(75894,75906) = 5760809964 / 6
LCM(75894,75906) = 960134994

Least Common Multiple (LCM) of 75894 and 75906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75894 and 75906. First we will calculate the prime factors of 75894 and 75906.

Prime Factorization of 75894

Prime Factorization of 75906

Now multiplying the highest exponent prime factors to calculate the LCM of 75894 and 75906.

LCM(75894,75906) = 2¹ × 3² × 7¹ × 13¹ × 139¹ × 4217¹
LCM(75894,75906) = 960134994