What is the Least Common Multiple of 66933 and 66947?

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 66947 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 66947, than apply into the LCM equation.

GCF(66933,66947) = 1
LCM(66933,66947) = ( 66933 × 66947) / 1
LCM(66933,66947) = 4480963551 / 1
LCM(66933,66947) = 4480963551

Least Common Multiple (LCM) of 66933 and 66947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66933 and 66947. First we will calculate the prime factors of 66933 and 66947.

Prime Factorization of 66933

Prime Factorization of 66947

Now multiplying the highest exponent prime factors to calculate the LCM of 66933 and 66947.

LCM(66933,66947) = 3³ × 37¹ × 67¹ × 66947¹
LCM(66933,66947) = 4480963551