What is the Least Common Multiple of 66582 and 66598?

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 66582 and 66598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66582 and 66598, than apply into the LCM equation.

GCF(66582,66598) = 2
LCM(66582,66598) = ( 66582 × 66598) / 2
LCM(66582,66598) = 4434228036 / 2
LCM(66582,66598) = 2217114018

Least Common Multiple (LCM) of 66582 and 66598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66582 and 66598. First we will calculate the prime factors of 66582 and 66598.

Prime Factorization of 66582

Prime Factorization of 66598

Now multiplying the highest exponent prime factors to calculate the LCM of 66582 and 66598.

LCM(66582,66598) = 2¹ × 3⁵ × 137¹ × 7¹ × 67¹ × 71¹
LCM(66582,66598) = 2217114018