GCF and LCM Calculator Logo

What is the Least Common Multiple of 27606 and 27611?

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 27606 and 27611 is 762229266.

LCM(27606,27611) = 762229266

LCM Calculator and
and

Least Common Multiple of 27606 and 27611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27606 and 27611, than apply into the LCM equation.

GCF(27606,27611) = 1
LCM(27606,27611) = ( 27606 × 27611) / 1
LCM(27606,27611) = 762229266 / 1
LCM(27606,27611) = 762229266

Least Common Multiple (LCM) of 27606 and 27611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27606 and 27611. First we will calculate the prime factors of 27606 and 27611.

Prime Factorization of 27606

Prime factors of 27606 are 2, 3, 43, 107. Prime factorization of 27606 in exponential form is:

27606 = 21 × 31 × 431 × 1071

Prime Factorization of 27611

Prime factors of 27611 are 27611. Prime factorization of 27611 in exponential form is:

27611 = 276111

Now multiplying the highest exponent prime factors to calculate the LCM of 27606 and 27611.

LCM(27606,27611) = 21 × 31 × 431 × 1071 × 276111
LCM(27606,27611) = 762229266