GCF and LCM Calculator Logo

What is the Least Common Multiple of 22777 and 22788?

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 22777 and 22788 is 519042276.

LCM(22777,22788) = 519042276

LCM Calculator and
and

Least Common Multiple of 22777 and 22788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22777 and 22788, than apply into the LCM equation.

GCF(22777,22788) = 1
LCM(22777,22788) = ( 22777 × 22788) / 1
LCM(22777,22788) = 519042276 / 1
LCM(22777,22788) = 519042276

Least Common Multiple (LCM) of 22777 and 22788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22777 and 22788. First we will calculate the prime factors of 22777 and 22788.

Prime Factorization of 22777

Prime factors of 22777 are 22777. Prime factorization of 22777 in exponential form is:

22777 = 227771

Prime Factorization of 22788

Prime factors of 22788 are 2, 3, 211. Prime factorization of 22788 in exponential form is:

22788 = 22 × 33 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 22777 and 22788.

LCM(22777,22788) = 227771 × 22 × 33 × 2111
LCM(22777,22788) = 519042276