What is the Least Common Multiple of 66782 and 66788?

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 66782 and 66788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66782 and 66788, than apply into the LCM equation.

GCF(66782,66788) = 2
LCM(66782,66788) = ( 66782 × 66788) / 2
LCM(66782,66788) = 4460236216 / 2
LCM(66782,66788) = 2230118108

Least Common Multiple (LCM) of 66782 and 66788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66782 and 66788. First we will calculate the prime factors of 66782 and 66788.

Prime Factorization of 66782

Prime Factorization of 66788

Now multiplying the highest exponent prime factors to calculate the LCM of 66782 and 66788.

LCM(66782,66788) = 2² × 33391¹ × 59¹ × 283¹
LCM(66782,66788) = 2230118108