What is the Least Common Multiple of 66172 and 66176?

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 66172 and 66176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66172 and 66176, than apply into the LCM equation.

GCF(66172,66176) = 4
LCM(66172,66176) = ( 66172 × 66176) / 4
LCM(66172,66176) = 4378998272 / 4
LCM(66172,66176) = 1094749568

Least Common Multiple (LCM) of 66172 and 66176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66172 and 66176. First we will calculate the prime factors of 66172 and 66176.

Prime Factorization of 66172

Prime Factorization of 66176

Now multiplying the highest exponent prime factors to calculate the LCM of 66172 and 66176.

LCM(66172,66176) = 2⁷ × 71¹ × 233¹ × 11¹ × 47¹
LCM(66172,66176) = 1094749568