What is the Least Common Multiple of 66689 and 66705?

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 66705 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 66705, than apply into the LCM equation.

GCF(66689,66705) = 1
LCM(66689,66705) = ( 66689 × 66705) / 1
LCM(66689,66705) = 4448489745 / 1
LCM(66689,66705) = 4448489745

Least Common Multiple (LCM) of 66689 and 66705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66689 and 66705. First we will calculate the prime factors of 66689 and 66705.

Prime Factorization of 66689

Prime Factorization of 66705

Now multiplying the highest exponent prime factors to calculate the LCM of 66689 and 66705.

LCM(66689,66705) = 7² × 1361¹ × 3¹ × 5¹ × 4447¹
LCM(66689,66705) = 4448489745