GCF and LCM Calculator Logo

What is the Least Common Multiple of 10778 and 10788?

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 10778 and 10788 is 58136532.

LCM(10778,10788) = 58136532

LCM Calculator and
and

Least Common Multiple of 10778 and 10788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10778 and 10788, than apply into the LCM equation.

GCF(10778,10788) = 2
LCM(10778,10788) = ( 10778 × 10788) / 2
LCM(10778,10788) = 116273064 / 2
LCM(10778,10788) = 58136532

Least Common Multiple (LCM) of 10778 and 10788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10778 and 10788. First we will calculate the prime factors of 10778 and 10788.

Prime Factorization of 10778

Prime factors of 10778 are 2, 17, 317. Prime factorization of 10778 in exponential form is:

10778 = 21 × 171 × 3171

Prime Factorization of 10788

Prime factors of 10788 are 2, 3, 29, 31. Prime factorization of 10788 in exponential form is:

10788 = 22 × 31 × 291 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 10778 and 10788.

LCM(10778,10788) = 22 × 171 × 3171 × 31 × 291 × 311
LCM(10778,10788) = 58136532