What is the Least Common Multiple of 66864 and 66878?

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 66864 and 66878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66864 and 66878, than apply into the LCM equation.

GCF(66864,66878) = 14
LCM(66864,66878) = ( 66864 × 66878) / 14
LCM(66864,66878) = 4471730592 / 14
LCM(66864,66878) = 319409328

Least Common Multiple (LCM) of 66864 and 66878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66864 and 66878. First we will calculate the prime factors of 66864 and 66878.

Prime Factorization of 66864

Prime Factorization of 66878

Now multiplying the highest exponent prime factors to calculate the LCM of 66864 and 66878.

LCM(66864,66878) = 2⁴ × 3¹ × 7¹ × 199¹ × 17¹ × 281¹
LCM(66864,66878) = 319409328