GCF and LCM Calculator Logo

What is the Least Common Multiple of 27247 and 27255?

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 27247 and 27255 is 742616985.

LCM(27247,27255) = 742616985

LCM Calculator and
and

Least Common Multiple of 27247 and 27255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27247 and 27255, than apply into the LCM equation.

GCF(27247,27255) = 1
LCM(27247,27255) = ( 27247 × 27255) / 1
LCM(27247,27255) = 742616985 / 1
LCM(27247,27255) = 742616985

Least Common Multiple (LCM) of 27247 and 27255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27247 and 27255. First we will calculate the prime factors of 27247 and 27255.

Prime Factorization of 27247

Prime factors of 27247 are 11, 2477. Prime factorization of 27247 in exponential form is:

27247 = 111 × 24771

Prime Factorization of 27255

Prime factors of 27255 are 3, 5, 23, 79. Prime factorization of 27255 in exponential form is:

27255 = 31 × 51 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 27247 and 27255.

LCM(27247,27255) = 111 × 24771 × 31 × 51 × 231 × 791
LCM(27247,27255) = 742616985