What is the Least Common Multiple of 66714 and 66723?

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 66714 and 66723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66714 and 66723, than apply into the LCM equation.

GCF(66714,66723) = 3
LCM(66714,66723) = ( 66714 × 66723) / 3
LCM(66714,66723) = 4451358222 / 3
LCM(66714,66723) = 1483786074

Least Common Multiple (LCM) of 66714 and 66723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66714 and 66723. First we will calculate the prime factors of 66714 and 66723.

Prime Factorization of 66714

Prime Factorization of 66723

Now multiplying the highest exponent prime factors to calculate the LCM of 66714 and 66723.

LCM(66714,66723) = 2¹ × 3¹ × 11119¹ × 23¹ × 967¹
LCM(66714,66723) = 1483786074