What is the Least Common Multiple of 65802 and 65822?

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 65802 and 65822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65802 and 65822, than apply into the LCM equation.

GCF(65802,65822) = 2
LCM(65802,65822) = ( 65802 × 65822) / 2
LCM(65802,65822) = 4331219244 / 2
LCM(65802,65822) = 2165609622

Least Common Multiple (LCM) of 65802 and 65822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65802 and 65822. First we will calculate the prime factors of 65802 and 65822.

Prime Factorization of 65802

Prime Factorization of 65822

Now multiplying the highest exponent prime factors to calculate the LCM of 65802 and 65822.

LCM(65802,65822) = 2¹ × 3¹ × 11¹ × 997¹ × 32911¹
LCM(65802,65822) = 2165609622