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What is the Least Common Multiple of 6773 and 6792?

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 6773 and 6792 is 46002216.

LCM(6773,6792) = 46002216

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Least Common Multiple of 6773 and 6792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6773 and 6792, than apply into the LCM equation.

GCF(6773,6792) = 1
LCM(6773,6792) = ( 6773 × 6792) / 1
LCM(6773,6792) = 46002216 / 1
LCM(6773,6792) = 46002216

Least Common Multiple (LCM) of 6773 and 6792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6773 and 6792. First we will calculate the prime factors of 6773 and 6792.

Prime Factorization of 6773

Prime factors of 6773 are 13, 521. Prime factorization of 6773 in exponential form is:

6773 = 131 × 5211

Prime Factorization of 6792

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

6792 = 23 × 31 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 6773 and 6792.

LCM(6773,6792) = 131 × 5211 × 23 × 31 × 2831
LCM(6773,6792) = 46002216