What is the Least Common Multiple of 66903 and 66915?

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 66903 and 66915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66903 and 66915, than apply into the LCM equation.

GCF(66903,66915) = 3
LCM(66903,66915) = ( 66903 × 66915) / 3
LCM(66903,66915) = 4476814245 / 3
LCM(66903,66915) = 1492271415

Least Common Multiple (LCM) of 66903 and 66915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66903 and 66915. First we will calculate the prime factors of 66903 and 66915.

Prime Factorization of 66903

Prime Factorization of 66915

Now multiplying the highest exponent prime factors to calculate the LCM of 66903 and 66915.

LCM(66903,66915) = 3² × 29¹ × 769¹ × 5¹ × 1487¹
LCM(66903,66915) = 1492271415