GCF and LCM Calculator Logo

What is the Least Common Multiple of 27261 and 27265?

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 27261 and 27265 is 743271165.

LCM(27261,27265) = 743271165

LCM Calculator and
and

Least Common Multiple of 27261 and 27265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27261 and 27265, than apply into the LCM equation.

GCF(27261,27265) = 1
LCM(27261,27265) = ( 27261 × 27265) / 1
LCM(27261,27265) = 743271165 / 1
LCM(27261,27265) = 743271165

Least Common Multiple (LCM) of 27261 and 27265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27261 and 27265. First we will calculate the prime factors of 27261 and 27265.

Prime Factorization of 27261

Prime factors of 27261 are 3, 13, 233. Prime factorization of 27261 in exponential form is:

27261 = 32 × 131 × 2331

Prime Factorization of 27265

Prime factors of 27265 are 5, 7, 19, 41. Prime factorization of 27265 in exponential form is:

27265 = 51 × 71 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 27261 and 27265.

LCM(27261,27265) = 32 × 131 × 2331 × 51 × 71 × 191 × 411
LCM(27261,27265) = 743271165