What is the Least Common Multiple of 96802 and 96822?

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 96802 and 96822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96802 and 96822, than apply into the LCM equation.

GCF(96802,96822) = 2
LCM(96802,96822) = ( 96802 × 96822) / 2
LCM(96802,96822) = 9372563244 / 2
LCM(96802,96822) = 4686281622

Least Common Multiple (LCM) of 96802 and 96822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96802 and 96822. First we will calculate the prime factors of 96802 and 96822.

Prime Factorization of 96802

Prime Factorization of 96822

Now multiplying the highest exponent prime factors to calculate the LCM of 96802 and 96822.

LCM(96802,96822) = 2¹ × 29¹ × 1669¹ × 3³ × 11¹ × 163¹
LCM(96802,96822) = 4686281622