What is the Least Common Multiple of 66921 and 66936?

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 66921 and 66936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66921 and 66936, than apply into the LCM equation.

GCF(66921,66936) = 3
LCM(66921,66936) = ( 66921 × 66936) / 3
LCM(66921,66936) = 4479424056 / 3
LCM(66921,66936) = 1493141352

Least Common Multiple (LCM) of 66921 and 66936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66921 and 66936. First we will calculate the prime factors of 66921 and 66936.

Prime Factorization of 66921

Prime Factorization of 66936

Now multiplying the highest exponent prime factors to calculate the LCM of 66921 and 66936.

LCM(66921,66936) = 3¹ × 22307¹ × 2³ × 2789¹
LCM(66921,66936) = 1493141352