GCF and LCM Calculator Logo

What is the Least Common Multiple of 27080 and 27091?

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 27080 and 27091 is 733624280.

LCM(27080,27091) = 733624280

LCM Calculator and
and

Least Common Multiple of 27080 and 27091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27080 and 27091, than apply into the LCM equation.

GCF(27080,27091) = 1
LCM(27080,27091) = ( 27080 × 27091) / 1
LCM(27080,27091) = 733624280 / 1
LCM(27080,27091) = 733624280

Least Common Multiple (LCM) of 27080 and 27091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27080 and 27091. First we will calculate the prime factors of 27080 and 27091.

Prime Factorization of 27080

Prime factors of 27080 are 2, 5, 677. Prime factorization of 27080 in exponential form is:

27080 = 23 × 51 × 6771

Prime Factorization of 27091

Prime factors of 27091 are 27091. Prime factorization of 27091 in exponential form is:

27091 = 270911

Now multiplying the highest exponent prime factors to calculate the LCM of 27080 and 27091.

LCM(27080,27091) = 23 × 51 × 6771 × 270911
LCM(27080,27091) = 733624280