What is the Least Common Multiple of 30822 and 30842?

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 30822 and 30842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30822 and 30842, than apply into the LCM equation.

GCF(30822,30842) = 2
LCM(30822,30842) = ( 30822 × 30842) / 2
LCM(30822,30842) = 950612124 / 2
LCM(30822,30842) = 475306062

Least Common Multiple (LCM) of 30822 and 30842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30822 and 30842. First we will calculate the prime factors of 30822 and 30842.

Prime Factorization of 30822

Prime Factorization of 30842

Now multiplying the highest exponent prime factors to calculate the LCM of 30822 and 30842.

LCM(30822,30842) = 2¹ × 3¹ × 11¹ × 467¹ × 7¹ × 2203¹
LCM(30822,30842) = 475306062