GCF and LCM Calculator Logo

What is the Least Common Multiple of 17167 and 17182?

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 17167 and 17182 is 294963394.

LCM(17167,17182) = 294963394

LCM Calculator and
and

Least Common Multiple of 17167 and 17182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17167 and 17182, than apply into the LCM equation.

GCF(17167,17182) = 1
LCM(17167,17182) = ( 17167 × 17182) / 1
LCM(17167,17182) = 294963394 / 1
LCM(17167,17182) = 294963394

Least Common Multiple (LCM) of 17167 and 17182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17167 and 17182. First we will calculate the prime factors of 17167 and 17182.

Prime Factorization of 17167

Prime factors of 17167 are 17167. Prime factorization of 17167 in exponential form is:

17167 = 171671

Prime Factorization of 17182

Prime factors of 17182 are 2, 11, 71. Prime factorization of 17182 in exponential form is:

17182 = 21 × 112 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17167 and 17182.

LCM(17167,17182) = 171671 × 21 × 112 × 711
LCM(17167,17182) = 294963394