What is the Least Common Multiple of 66689 and 66709?

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 66689 and 66709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66689 and 66709, than apply into the LCM equation.

GCF(66689,66709) = 1
LCM(66689,66709) = ( 66689 × 66709) / 1
LCM(66689,66709) = 4448756501 / 1
LCM(66689,66709) = 4448756501

Least Common Multiple (LCM) of 66689 and 66709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66689 and 66709. First we will calculate the prime factors of 66689 and 66709.

Prime Factorization of 66689

Prime Factorization of 66709

Now multiplying the highest exponent prime factors to calculate the LCM of 66689 and 66709.

LCM(66689,66709) = 7² × 1361¹ × 19¹ × 3511¹
LCM(66689,66709) = 4448756501