GCF and LCM Calculator Logo

What is the Least Common Multiple of 32182 and 32197?

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 32182 and 32197 is 1036163854.

LCM(32182,32197) = 1036163854

LCM Calculator and
and

Least Common Multiple of 32182 and 32197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32182 and 32197, than apply into the LCM equation.

GCF(32182,32197) = 1
LCM(32182,32197) = ( 32182 × 32197) / 1
LCM(32182,32197) = 1036163854 / 1
LCM(32182,32197) = 1036163854

Least Common Multiple (LCM) of 32182 and 32197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32182 and 32197. First we will calculate the prime factors of 32182 and 32197.

Prime Factorization of 32182

Prime factors of 32182 are 2, 16091. Prime factorization of 32182 in exponential form is:

32182 = 21 × 160911

Prime Factorization of 32197

Prime factors of 32197 are 11, 2927. Prime factorization of 32197 in exponential form is:

32197 = 111 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 32182 and 32197.

LCM(32182,32197) = 21 × 160911 × 111 × 29271
LCM(32182,32197) = 1036163854