What is the Least Common Multiple of 66878 and 66896?

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 66878 and 66896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66878 and 66896, than apply into the LCM equation.

GCF(66878,66896) = 2
LCM(66878,66896) = ( 66878 × 66896) / 2
LCM(66878,66896) = 4473870688 / 2
LCM(66878,66896) = 2236935344

Least Common Multiple (LCM) of 66878 and 66896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66878 and 66896. First we will calculate the prime factors of 66878 and 66896.

Prime Factorization of 66878

Prime Factorization of 66896

Now multiplying the highest exponent prime factors to calculate the LCM of 66878 and 66896.

LCM(66878,66896) = 2⁴ × 7¹ × 17¹ × 281¹ × 37¹ × 113¹
LCM(66878,66896) = 2236935344