What is the Least Common Multiple of 83805 and 83822?

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 83805 and 83822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83805 and 83822, than apply into the LCM equation.

GCF(83805,83822) = 1
LCM(83805,83822) = ( 83805 × 83822) / 1
LCM(83805,83822) = 7024702710 / 1
LCM(83805,83822) = 7024702710

Least Common Multiple (LCM) of 83805 and 83822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83805 and 83822. First we will calculate the prime factors of 83805 and 83822.

Prime Factorization of 83805

Prime Factorization of 83822

Now multiplying the highest exponent prime factors to calculate the LCM of 83805 and 83822.

LCM(83805,83822) = 3¹ × 5¹ × 37¹ × 151¹ × 2¹ × 41911¹
LCM(83805,83822) = 7024702710