GCF and LCM Calculator Logo

What is the Least Common Multiple of 8165 and 8169?

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 8165 and 8169 is 66699885.

LCM(8165,8169) = 66699885

LCM Calculator and
and

Least Common Multiple of 8165 and 8169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8165 and 8169, than apply into the LCM equation.

GCF(8165,8169) = 1
LCM(8165,8169) = ( 8165 × 8169) / 1
LCM(8165,8169) = 66699885 / 1
LCM(8165,8169) = 66699885

Least Common Multiple (LCM) of 8165 and 8169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8165 and 8169. First we will calculate the prime factors of 8165 and 8169.

Prime Factorization of 8165

Prime factors of 8165 are 5, 23, 71. Prime factorization of 8165 in exponential form is:

8165 = 51 × 231 × 711

Prime Factorization of 8169

Prime factors of 8169 are 3, 7, 389. Prime factorization of 8169 in exponential form is:

8169 = 31 × 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 8165 and 8169.

LCM(8165,8169) = 51 × 231 × 711 × 31 × 71 × 3891
LCM(8165,8169) = 66699885