What is the Least Common Multiple of 66696 and 66708?

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 66696 and 66708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66696 and 66708, than apply into the LCM equation.

GCF(66696,66708) = 12
LCM(66696,66708) = ( 66696 × 66708) / 12
LCM(66696,66708) = 4449156768 / 12
LCM(66696,66708) = 370763064

Least Common Multiple (LCM) of 66696 and 66708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66696 and 66708. First we will calculate the prime factors of 66696 and 66708.

Prime Factorization of 66696

Prime Factorization of 66708

Now multiplying the highest exponent prime factors to calculate the LCM of 66696 and 66708.

LCM(66696,66708) = 2³ × 3² × 7¹ × 397¹ × 17¹ × 109¹
LCM(66696,66708) = 370763064