What is the Least Common Multiple of 75894 and 75902?

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 75902 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 75902, than apply into the LCM equation.

GCF(75894,75902) = 2
LCM(75894,75902) = ( 75894 × 75902) / 2
LCM(75894,75902) = 5760506388 / 2
LCM(75894,75902) = 2880253194

Least Common Multiple (LCM) of 75894 and 75902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75894 and 75902. First we will calculate the prime factors of 75894 and 75902.

Prime Factorization of 75894

Prime Factorization of 75902

Now multiplying the highest exponent prime factors to calculate the LCM of 75894 and 75902.

LCM(75894,75902) = 2¹ × 3¹ × 7¹ × 13¹ × 139¹ × 37951¹
LCM(75894,75902) = 2880253194