What is the Least Common Multiple of 29812 and 29822?

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 29812 and 29822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29812 and 29822, than apply into the LCM equation.

GCF(29812,29822) = 2
LCM(29812,29822) = ( 29812 × 29822) / 2
LCM(29812,29822) = 889053464 / 2
LCM(29812,29822) = 444526732

Least Common Multiple (LCM) of 29812 and 29822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29812 and 29822. First we will calculate the prime factors of 29812 and 29822.

Prime Factorization of 29812

Prime Factorization of 29822

Now multiplying the highest exponent prime factors to calculate the LCM of 29812 and 29822.

LCM(29812,29822) = 2² × 29¹ × 257¹ × 13¹ × 31¹ × 37¹
LCM(29812,29822) = 444526732