What is the Least Common Multiple of 3822 and 3842?

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 3822 and 3842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3822 and 3842, than apply into the LCM equation.

GCF(3822,3842) = 2
LCM(3822,3842) = ( 3822 × 3842) / 2
LCM(3822,3842) = 14684124 / 2
LCM(3822,3842) = 7342062

Least Common Multiple (LCM) of 3822 and 3842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3822 and 3842. First we will calculate the prime factors of 3822 and 3842.

Prime Factorization of 3822

Prime Factorization of 3842

Now multiplying the highest exponent prime factors to calculate the LCM of 3822 and 3842.

LCM(3822,3842) = 2¹ × 3¹ × 7² × 13¹ × 17¹ × 113¹
LCM(3822,3842) = 7342062