What is the Least Common Multiple of 85802 and 85822?

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 85802 and 85822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85802 and 85822, than apply into the LCM equation.

GCF(85802,85822) = 2
LCM(85802,85822) = ( 85802 × 85822) / 2
LCM(85802,85822) = 7363699244 / 2
LCM(85802,85822) = 3681849622

Least Common Multiple (LCM) of 85802 and 85822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85802 and 85822. First we will calculate the prime factors of 85802 and 85822.

Prime Factorization of 85802

Prime Factorization of 85822

Now multiplying the highest exponent prime factors to calculate the LCM of 85802 and 85822.

LCM(85802,85822) = 2¹ × 42901¹ × 11¹ × 47¹ × 83¹
LCM(85802,85822) = 3681849622