GCF and LCM Calculator Logo

What is the Least Common Multiple of 27681 and 27690?

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 27681 and 27690 is 255495630.

LCM(27681,27690) = 255495630

LCM Calculator and
and

Least Common Multiple of 27681 and 27690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27681 and 27690, than apply into the LCM equation.

GCF(27681,27690) = 3
LCM(27681,27690) = ( 27681 × 27690) / 3
LCM(27681,27690) = 766486890 / 3
LCM(27681,27690) = 255495630

Least Common Multiple (LCM) of 27681 and 27690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27681 and 27690. First we will calculate the prime factors of 27681 and 27690.

Prime Factorization of 27681

Prime factors of 27681 are 3, 9227. Prime factorization of 27681 in exponential form is:

27681 = 31 × 92271

Prime Factorization of 27690

Prime factors of 27690 are 2, 3, 5, 13, 71. Prime factorization of 27690 in exponential form is:

27690 = 21 × 31 × 51 × 131 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 27681 and 27690.

LCM(27681,27690) = 31 × 92271 × 21 × 51 × 131 × 711
LCM(27681,27690) = 255495630