What is the Least Common Multiple of 66723 and 66732?

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 66723 and 66732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66723 and 66732, than apply into the LCM equation.

GCF(66723,66732) = 3
LCM(66723,66732) = ( 66723 × 66732) / 3
LCM(66723,66732) = 4452559236 / 3
LCM(66723,66732) = 1484186412

Least Common Multiple (LCM) of 66723 and 66732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66723 and 66732. First we will calculate the prime factors of 66723 and 66732.

Prime Factorization of 66723

Prime Factorization of 66732

Now multiplying the highest exponent prime factors to calculate the LCM of 66723 and 66732.

LCM(66723,66732) = 3¹ × 23¹ × 967¹ × 2² × 67¹ × 83¹
LCM(66723,66732) = 1484186412