What is the Least Common Multiple of 66869 and 66889?

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 66869 and 66889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66869 and 66889, than apply into the LCM equation.

GCF(66869,66889) = 1
LCM(66869,66889) = ( 66869 × 66889) / 1
LCM(66869,66889) = 4472800541 / 1
LCM(66869,66889) = 4472800541

Least Common Multiple (LCM) of 66869 and 66889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66869 and 66889. First we will calculate the prime factors of 66869 and 66889.

Prime Factorization of 66869

Prime Factorization of 66889

Now multiplying the highest exponent prime factors to calculate the LCM of 66869 and 66889.

LCM(66869,66889) = 11¹ × 6079¹ × 66889¹
LCM(66869,66889) = 4472800541