What is the Least Common Multiple of 10805 and 10822?

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 10805 and 10822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10805 and 10822, than apply into the LCM equation.

GCF(10805,10822) = 1
LCM(10805,10822) = ( 10805 × 10822) / 1
LCM(10805,10822) = 116931710 / 1
LCM(10805,10822) = 116931710

Least Common Multiple (LCM) of 10805 and 10822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10805 and 10822. First we will calculate the prime factors of 10805 and 10822.

Prime Factorization of 10805

Prime Factorization of 10822

Now multiplying the highest exponent prime factors to calculate the LCM of 10805 and 10822.

LCM(10805,10822) = 5¹ × 2161¹ × 2¹ × 7¹ × 773¹
LCM(10805,10822) = 116931710