What is the Least Common Multiple of 75812 and 75822?

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 75812 and 75822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75812 and 75822, than apply into the LCM equation.

GCF(75812,75822) = 2
LCM(75812,75822) = ( 75812 × 75822) / 2
LCM(75812,75822) = 5748217464 / 2
LCM(75812,75822) = 2874108732

Least Common Multiple (LCM) of 75812 and 75822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75812 and 75822. First we will calculate the prime factors of 75812 and 75822.

Prime Factorization of 75812

Prime Factorization of 75822

Now multiplying the highest exponent prime factors to calculate the LCM of 75812 and 75822.

LCM(75812,75822) = 2² × 11¹ × 1723¹ × 3¹ × 12637¹
LCM(75812,75822) = 2874108732