GCF and LCM Calculator Logo

What is the Least Common Multiple of 272 and 288?

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 272 and 288 is 4896.

LCM(272,288) = 4896

LCM Calculator and
and

Least Common Multiple of 272 and 288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 272 and 288, than apply into the LCM equation.

GCF(272,288) = 16
LCM(272,288) = ( 272 × 288) / 16
LCM(272,288) = 78336 / 16
LCM(272,288) = 4896

Least Common Multiple (LCM) of 272 and 288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 272 and 288. First we will calculate the prime factors of 272 and 288.

Prime Factorization of 272

Prime factors of 272 are 2, 17. Prime factorization of 272 in exponential form is:

272 = 24 × 171

Prime Factorization of 288

Prime factors of 288 are 2, 3. Prime factorization of 288 in exponential form is:

288 = 25 × 32

Now multiplying the highest exponent prime factors to calculate the LCM of 272 and 288.

LCM(272,288) = 25 × 171 × 32
LCM(272,288) = 4896