GCF and LCM Calculator Logo

What is the Least Common Multiple of 65188 and 65208?

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 65188 and 65208 is 1062694776.

LCM(65188,65208) = 1062694776

LCM Calculator and
and

Least Common Multiple of 65188 and 65208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65188 and 65208, than apply into the LCM equation.

GCF(65188,65208) = 4
LCM(65188,65208) = ( 65188 × 65208) / 4
LCM(65188,65208) = 4250779104 / 4
LCM(65188,65208) = 1062694776

Least Common Multiple (LCM) of 65188 and 65208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65188 and 65208. First we will calculate the prime factors of 65188 and 65208.

Prime Factorization of 65188

Prime factors of 65188 are 2, 43, 379. Prime factorization of 65188 in exponential form is:

65188 = 22 × 431 × 3791

Prime Factorization of 65208

Prime factors of 65208 are 2, 3, 11, 13, 19. Prime factorization of 65208 in exponential form is:

65208 = 23 × 31 × 111 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 65188 and 65208.

LCM(65188,65208) = 23 × 431 × 3791 × 31 × 111 × 131 × 191
LCM(65188,65208) = 1062694776