GCF and LCM Calculator Logo

What is the Least Common Multiple of 27784 and 27801?

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 27784 and 27801 is 772422984.

LCM(27784,27801) = 772422984

LCM Calculator and
and

Least Common Multiple of 27784 and 27801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27784 and 27801, than apply into the LCM equation.

GCF(27784,27801) = 1
LCM(27784,27801) = ( 27784 × 27801) / 1
LCM(27784,27801) = 772422984 / 1
LCM(27784,27801) = 772422984

Least Common Multiple (LCM) of 27784 and 27801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27784 and 27801. First we will calculate the prime factors of 27784 and 27801.

Prime Factorization of 27784

Prime factors of 27784 are 2, 23, 151. Prime factorization of 27784 in exponential form is:

27784 = 23 × 231 × 1511

Prime Factorization of 27801

Prime factors of 27801 are 3, 3089. Prime factorization of 27801 in exponential form is:

27801 = 32 × 30891

Now multiplying the highest exponent prime factors to calculate the LCM of 27784 and 27801.

LCM(27784,27801) = 23 × 231 × 1511 × 32 × 30891
LCM(27784,27801) = 772422984