GCF and LCM Calculator Logo

What is the Least Common Multiple of 4169 and 4176?

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 (LCM) of 4169 and 4176 is 17409744.

LCM(4169,4176) = 17409744

LCM Calculator and
and

Least Common Multiple of 4169 and 4176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4169 and 4176, than apply into the LCM equation.

GCF(4169,4176) = 1
LCM(4169,4176) = ( 4169 × 4176) / 1
LCM(4169,4176) = 17409744 / 1
LCM(4169,4176) = 17409744

Least Common Multiple (LCM) of 4169 and 4176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4169 and 4176. First we will calculate the prime factors of 4169 and 4176.

Prime Factorization of 4169

Prime factors of 4169 are 11, 379. Prime factorization of 4169 in exponential form is:

4169 = 111 × 3791

Prime Factorization of 4176

Prime factors of 4176 are 2, 3, 29. Prime factorization of 4176 in exponential form is:

4176 = 24 × 32 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 4169 and 4176.

LCM(4169,4176) = 111 × 3791 × 24 × 32 × 291
LCM(4169,4176) = 17409744