What is the Least Common Multiple of 66915 and 66933?

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 66915 and 66933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66915 and 66933, than apply into the LCM equation.

GCF(66915,66933) = 9
LCM(66915,66933) = ( 66915 × 66933) / 9
LCM(66915,66933) = 4478821695 / 9
LCM(66915,66933) = 497646855

Least Common Multiple (LCM) of 66915 and 66933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66915 and 66933. First we will calculate the prime factors of 66915 and 66933.

Prime Factorization of 66915

Prime Factorization of 66933

Now multiplying the highest exponent prime factors to calculate the LCM of 66915 and 66933.

LCM(66915,66933) = 3³ × 5¹ × 1487¹ × 37¹ × 67¹
LCM(66915,66933) = 497646855