GCF and LCM Calculator Logo

What is the Least Common Multiple of 6813 and 6825?

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 6813 and 6825 is 15499575.

LCM(6813,6825) = 15499575

LCM Calculator and
and

Least Common Multiple of 6813 and 6825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6813 and 6825, than apply into the LCM equation.

GCF(6813,6825) = 3
LCM(6813,6825) = ( 6813 × 6825) / 3
LCM(6813,6825) = 46498725 / 3
LCM(6813,6825) = 15499575

Least Common Multiple (LCM) of 6813 and 6825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6813 and 6825. First we will calculate the prime factors of 6813 and 6825.

Prime Factorization of 6813

Prime factors of 6813 are 3, 757. Prime factorization of 6813 in exponential form is:

6813 = 32 × 7571

Prime Factorization of 6825

Prime factors of 6825 are 3, 5, 7, 13. Prime factorization of 6825 in exponential form is:

6825 = 31 × 52 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 6813 and 6825.

LCM(6813,6825) = 32 × 7571 × 52 × 71 × 131
LCM(6813,6825) = 15499575