GCF and LCM Calculator Logo

What is the Least Common Multiple of 7794 and 7810?

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 7794 and 7810 is 30435570.

LCM(7794,7810) = 30435570

LCM Calculator and
and

Least Common Multiple of 7794 and 7810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7794 and 7810, than apply into the LCM equation.

GCF(7794,7810) = 2
LCM(7794,7810) = ( 7794 × 7810) / 2
LCM(7794,7810) = 60871140 / 2
LCM(7794,7810) = 30435570

Least Common Multiple (LCM) of 7794 and 7810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7794 and 7810. First we will calculate the prime factors of 7794 and 7810.

Prime Factorization of 7794

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

7794 = 21 × 32 × 4331

Prime Factorization of 7810

Prime factors of 7810 are 2, 5, 11, 71. Prime factorization of 7810 in exponential form is:

7810 = 21 × 51 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 7794 and 7810.

LCM(7794,7810) = 21 × 32 × 4331 × 51 × 111 × 711
LCM(7794,7810) = 30435570