GCF and LCM Calculator Logo

What is the Least Common Multiple of 27071 and 27085?

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 27071 and 27085 is 733218035.

LCM(27071,27085) = 733218035

LCM Calculator and
and

Least Common Multiple of 27071 and 27085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27071 and 27085, than apply into the LCM equation.

GCF(27071,27085) = 1
LCM(27071,27085) = ( 27071 × 27085) / 1
LCM(27071,27085) = 733218035 / 1
LCM(27071,27085) = 733218035

Least Common Multiple (LCM) of 27071 and 27085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27071 and 27085. First we will calculate the prime factors of 27071 and 27085.

Prime Factorization of 27071

Prime factors of 27071 are 11, 23, 107. Prime factorization of 27071 in exponential form is:

27071 = 111 × 231 × 1071

Prime Factorization of 27085

Prime factors of 27085 are 5, 5417. Prime factorization of 27085 in exponential form is:

27085 = 51 × 54171

Now multiplying the highest exponent prime factors to calculate the LCM of 27071 and 27085.

LCM(27071,27085) = 111 × 231 × 1071 × 51 × 54171
LCM(27071,27085) = 733218035