What is the Least Common Multiple of 66708 and 66717?

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 66708 and 66717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66708 and 66717, than apply into the LCM equation.

GCF(66708,66717) = 9
LCM(66708,66717) = ( 66708 × 66717) / 9
LCM(66708,66717) = 4450557636 / 9
LCM(66708,66717) = 494506404

Least Common Multiple (LCM) of 66708 and 66717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66708 and 66717. First we will calculate the prime factors of 66708 and 66717.

Prime Factorization of 66708

Prime Factorization of 66717

Now multiplying the highest exponent prime factors to calculate the LCM of 66708 and 66717.

LCM(66708,66717) = 2² × 3³ × 17¹ × 109¹ × 7¹ × 353¹
LCM(66708,66717) = 494506404