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What is the Least Common Multiple of 6792 and 6807?

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 6792 and 6807 is 15411048.

LCM(6792,6807) = 15411048

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Least Common Multiple of 6792 and 6807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6792 and 6807, than apply into the LCM equation.

GCF(6792,6807) = 3
LCM(6792,6807) = ( 6792 × 6807) / 3
LCM(6792,6807) = 46233144 / 3
LCM(6792,6807) = 15411048

Least Common Multiple (LCM) of 6792 and 6807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6807. First we will calculate the prime factors of 6792 and 6807.

Prime Factorization of 6792

Prime factors of 6792 are 2, 3, 283. Prime factorization of 6792 in exponential form is:

6792 = 23 × 31 × 2831

Prime Factorization of 6807

Prime factors of 6807 are 3, 2269. Prime factorization of 6807 in exponential form is:

6807 = 31 × 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6807.

LCM(6792,6807) = 23 × 31 × 2831 × 22691
LCM(6792,6807) = 15411048