GCF and LCM Calculator Logo

What is the Least Common Multiple of 267 and 273?

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 267 and 273 is 24297.

LCM(267,273) = 24297

LCM Calculator and
and

Least Common Multiple of 267 and 273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 267 and 273, than apply into the LCM equation.

GCF(267,273) = 3
LCM(267,273) = ( 267 × 273) / 3
LCM(267,273) = 72891 / 3
LCM(267,273) = 24297

Least Common Multiple (LCM) of 267 and 273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 267 and 273. First we will calculate the prime factors of 267 and 273.

Prime Factorization of 267

Prime factors of 267 are 3, 89. Prime factorization of 267 in exponential form is:

267 = 31 × 891

Prime Factorization of 273

Prime factors of 273 are 3, 7, 13. Prime factorization of 273 in exponential form is:

273 = 31 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 267 and 273.

LCM(267,273) = 31 × 891 × 71 × 131
LCM(267,273) = 24297