What is the Least Common Multiple of 13809 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 13809 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 13809 and 13822, than apply into the LCM equation.

GCF(13809,13822) = 1
LCM(13809,13822) = ( 13809 × 13822) / 1
LCM(13809,13822) = 190867998 / 1
LCM(13809,13822) = 190867998

Least Common Multiple (LCM) of 13809 and 13822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13809 and 13822. First we will calculate the prime factors of 13809 and 13822.

Prime Factorization of 13809

Prime Factorization of 13822

Now multiplying the highest exponent prime factors to calculate the LCM of 13809 and 13822.

LCM(13809,13822) = 3¹ × 4603¹ × 2¹ × 6911¹
LCM(13809,13822) = 190867998