GCF and LCM Calculator Logo

What is the Least Common Multiple of 7776 and 7794?

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 7776 and 7794 is 3367008.

LCM(7776,7794) = 3367008

LCM Calculator and
and

Least Common Multiple of 7776 and 7794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7776 and 7794, than apply into the LCM equation.

GCF(7776,7794) = 18
LCM(7776,7794) = ( 7776 × 7794) / 18
LCM(7776,7794) = 60606144 / 18
LCM(7776,7794) = 3367008

Least Common Multiple (LCM) of 7776 and 7794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7776 and 7794. First we will calculate the prime factors of 7776 and 7794.

Prime Factorization of 7776

Prime factors of 7776 are 2, 3. Prime factorization of 7776 in exponential form is:

7776 = 25 × 35

Prime Factorization of 7794

Prime factors of 7794 are 2, 3, 433. Prime factorization of 7794 in exponential form is:

7794 = 21 × 32 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 7776 and 7794.

LCM(7776,7794) = 25 × 35 × 4331
LCM(7776,7794) = 3367008