What is the Least Common Multiple of 66888 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 66888 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 66888 and 66897, than apply into the LCM equation.

GCF(66888,66897) = 9
LCM(66888,66897) = ( 66888 × 66897) / 9
LCM(66888,66897) = 4474606536 / 9
LCM(66888,66897) = 497178504

Least Common Multiple (LCM) of 66888 and 66897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66888 and 66897. First we will calculate the prime factors of 66888 and 66897.

Prime Factorization of 66888

Prime Factorization of 66897

Now multiplying the highest exponent prime factors to calculate the LCM of 66888 and 66897.

LCM(66888,66897) = 2³ × 3² × 929¹ × 7433¹
LCM(66888,66897) = 497178504