What is the Least Common Multiple of 66357 and 66366?

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 66357 and 66366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66357 and 66366, than apply into the LCM equation.

GCF(66357,66366) = 9
LCM(66357,66366) = ( 66357 × 66366) / 9
LCM(66357,66366) = 4403848662 / 9
LCM(66357,66366) = 489316518

Least Common Multiple (LCM) of 66357 and 66366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66357 and 66366. First we will calculate the prime factors of 66357 and 66366.

Prime Factorization of 66357

Prime Factorization of 66366

Now multiplying the highest exponent prime factors to calculate the LCM of 66357 and 66366.

LCM(66357,66366) = 3³ × 73¹ × 101¹ × 2¹ × 1229¹
LCM(66357,66366) = 489316518