What is the Least Common Multiple of 66933 and 66948?

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 66933 and 66948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66933 and 66948, than apply into the LCM equation.

GCF(66933,66948) = 3
LCM(66933,66948) = ( 66933 × 66948) / 3
LCM(66933,66948) = 4481030484 / 3
LCM(66933,66948) = 1493676828

Least Common Multiple (LCM) of 66933 and 66948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66933 and 66948. First we will calculate the prime factors of 66933 and 66948.

Prime Factorization of 66933

Prime Factorization of 66948

Now multiplying the highest exponent prime factors to calculate the LCM of 66933 and 66948.

LCM(66933,66948) = 3³ × 37¹ × 67¹ × 2² × 7¹ × 797¹
LCM(66933,66948) = 1493676828