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What is the Least Common Multiple of 6757 and 6762?

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 6757 and 6762 is 45690834.

LCM(6757,6762) = 45690834

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Least Common Multiple of 6757 and 6762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6757 and 6762, than apply into the LCM equation.

GCF(6757,6762) = 1
LCM(6757,6762) = ( 6757 × 6762) / 1
LCM(6757,6762) = 45690834 / 1
LCM(6757,6762) = 45690834

Least Common Multiple (LCM) of 6757 and 6762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6757 and 6762. First we will calculate the prime factors of 6757 and 6762.

Prime Factorization of 6757

Prime factors of 6757 are 29, 233. Prime factorization of 6757 in exponential form is:

6757 = 291 × 2331

Prime Factorization of 6762

Prime factors of 6762 are 2, 3, 7, 23. Prime factorization of 6762 in exponential form is:

6762 = 21 × 31 × 72 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 6757 and 6762.

LCM(6757,6762) = 291 × 2331 × 21 × 31 × 72 × 231
LCM(6757,6762) = 45690834