What is the Least Common Multiple of 13802 and 13822?

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 13802 and 13822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13802 and 13822, than apply into the LCM equation.

GCF(13802,13822) = 2
LCM(13802,13822) = ( 13802 × 13822) / 2
LCM(13802,13822) = 190771244 / 2
LCM(13802,13822) = 95385622

Least Common Multiple (LCM) of 13802 and 13822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13802 and 13822. First we will calculate the prime factors of 13802 and 13822.

Prime Factorization of 13802

Prime Factorization of 13822

Now multiplying the highest exponent prime factors to calculate the LCM of 13802 and 13822.

LCM(13802,13822) = 2¹ × 67¹ × 103¹ × 6911¹
LCM(13802,13822) = 95385622