What is the Least Common Multiple of 66885 and 66897?

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 66885 and 66897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66885 and 66897, than apply into the LCM equation.

GCF(66885,66897) = 3
LCM(66885,66897) = ( 66885 × 66897) / 3
LCM(66885,66897) = 4474405845 / 3
LCM(66885,66897) = 1491468615

Least Common Multiple (LCM) of 66885 and 66897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66885 and 66897. First we will calculate the prime factors of 66885 and 66897.

Prime Factorization of 66885

Prime Factorization of 66897

Now multiplying the highest exponent prime factors to calculate the LCM of 66885 and 66897.

LCM(66885,66897) = 3² × 5¹ × 7³ × 13¹ × 7433¹
LCM(66885,66897) = 1491468615