What is the Least Common Multiple of 66933 and 66939?

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 66939 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 66939, than apply into the LCM equation.

GCF(66933,66939) = 3
LCM(66933,66939) = ( 66933 × 66939) / 3
LCM(66933,66939) = 4480428087 / 3
LCM(66933,66939) = 1493476029

Least Common Multiple (LCM) of 66933 and 66939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66933 and 66939. First we will calculate the prime factors of 66933 and 66939.

Prime Factorization of 66933

Prime Factorization of 66939

Now multiplying the highest exponent prime factors to calculate the LCM of 66933 and 66939.

LCM(66933,66939) = 3³ × 37¹ × 67¹ × 53¹ × 421¹
LCM(66933,66939) = 1493476029