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What is the Least Common Multiple of 6733 and 6738?

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 6733 and 6738 is 45366954.

LCM(6733,6738) = 45366954

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Least Common Multiple of 6733 and 6738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6733 and 6738, than apply into the LCM equation.

GCF(6733,6738) = 1
LCM(6733,6738) = ( 6733 × 6738) / 1
LCM(6733,6738) = 45366954 / 1
LCM(6733,6738) = 45366954

Least Common Multiple (LCM) of 6733 and 6738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6733 and 6738. First we will calculate the prime factors of 6733 and 6738.

Prime Factorization of 6733

Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:

6733 = 67331

Prime Factorization of 6738

Prime factors of 6738 are 2, 3, 1123. Prime factorization of 6738 in exponential form is:

6738 = 21 × 31 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 6733 and 6738.

LCM(6733,6738) = 67331 × 21 × 31 × 11231
LCM(6733,6738) = 45366954