What is the Least Common Multiple of 66312 and 66317?

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 66312 and 66317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66312 and 66317, than apply into the LCM equation.

GCF(66312,66317) = 1
LCM(66312,66317) = ( 66312 × 66317) / 1
LCM(66312,66317) = 4397612904 / 1
LCM(66312,66317) = 4397612904

Least Common Multiple (LCM) of 66312 and 66317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66312 and 66317. First we will calculate the prime factors of 66312 and 66317.

Prime Factorization of 66312

Prime Factorization of 66317

Now multiplying the highest exponent prime factors to calculate the LCM of 66312 and 66317.

LCM(66312,66317) = 2³ × 3³ × 307¹ × 17¹ × 47¹ × 83¹
LCM(66312,66317) = 4397612904