GCF and LCM Calculator Logo

What is the Least Common Multiple of 27764 and 27777?

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 27764 and 27777 is 771200628.

LCM(27764,27777) = 771200628

LCM Calculator and
and

Least Common Multiple of 27764 and 27777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27764 and 27777, than apply into the LCM equation.

GCF(27764,27777) = 1
LCM(27764,27777) = ( 27764 × 27777) / 1
LCM(27764,27777) = 771200628 / 1
LCM(27764,27777) = 771200628

Least Common Multiple (LCM) of 27764 and 27777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27764 and 27777. First we will calculate the prime factors of 27764 and 27777.

Prime Factorization of 27764

Prime factors of 27764 are 2, 11, 631. Prime factorization of 27764 in exponential form is:

27764 = 22 × 111 × 6311

Prime Factorization of 27777

Prime factors of 27777 are 3, 47, 197. Prime factorization of 27777 in exponential form is:

27777 = 31 × 471 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 27764 and 27777.

LCM(27764,27777) = 22 × 111 × 6311 × 31 × 471 × 1971
LCM(27764,27777) = 771200628