What is the Least Common Multiple of 66174 and 66192?

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 66174 and 66192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66174 and 66192, than apply into the LCM equation.

GCF(66174,66192) = 6
LCM(66174,66192) = ( 66174 × 66192) / 6
LCM(66174,66192) = 4380189408 / 6
LCM(66174,66192) = 730031568

Least Common Multiple (LCM) of 66174 and 66192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66174 and 66192. First we will calculate the prime factors of 66174 and 66192.

Prime Factorization of 66174

Prime Factorization of 66192

Now multiplying the highest exponent prime factors to calculate the LCM of 66174 and 66192.

LCM(66174,66192) = 2⁴ × 3¹ × 41¹ × 269¹ × 7¹ × 197¹
LCM(66174,66192) = 730031568