What is the Least Common Multiple of 3805 and 3822?

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 3805 and 3822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3805 and 3822, than apply into the LCM equation.

GCF(3805,3822) = 1
LCM(3805,3822) = ( 3805 × 3822) / 1
LCM(3805,3822) = 14542710 / 1
LCM(3805,3822) = 14542710

Least Common Multiple (LCM) of 3805 and 3822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3805 and 3822. First we will calculate the prime factors of 3805 and 3822.

Prime Factorization of 3805

Prime Factorization of 3822

Now multiplying the highest exponent prime factors to calculate the LCM of 3805 and 3822.

LCM(3805,3822) = 5¹ × 761¹ × 2¹ × 3¹ × 7² × 13¹
LCM(3805,3822) = 14542710