What is the Least Common Multiple of 66168 and 66178?

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 66168 and 66178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66168 and 66178, than apply into the LCM equation.

GCF(66168,66178) = 2
LCM(66168,66178) = ( 66168 × 66178) / 2
LCM(66168,66178) = 4378865904 / 2
LCM(66168,66178) = 2189432952

Least Common Multiple (LCM) of 66168 and 66178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66168 and 66178. First we will calculate the prime factors of 66168 and 66178.

Prime Factorization of 66168

Prime Factorization of 66178

Now multiplying the highest exponent prime factors to calculate the LCM of 66168 and 66178.

LCM(66168,66178) = 2³ × 3² × 919¹ × 7¹ × 29¹ × 163¹
LCM(66168,66178) = 2189432952