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What is the Least Common Multiple of 6758 and 6773?

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 6758 and 6773 is 45771934.

LCM(6758,6773) = 45771934

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Least Common Multiple of 6758 and 6773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6758 and 6773, than apply into the LCM equation.

GCF(6758,6773) = 1
LCM(6758,6773) = ( 6758 × 6773) / 1
LCM(6758,6773) = 45771934 / 1
LCM(6758,6773) = 45771934

Least Common Multiple (LCM) of 6758 and 6773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6758 and 6773. First we will calculate the prime factors of 6758 and 6773.

Prime Factorization of 6758

Prime factors of 6758 are 2, 31, 109. Prime factorization of 6758 in exponential form is:

6758 = 21 × 311 × 1091

Prime Factorization of 6773

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

6773 = 131 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 6758 and 6773.

LCM(6758,6773) = 21 × 311 × 1091 × 131 × 5211
LCM(6758,6773) = 45771934