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What is the Least Common Multiple of 6762 and 6775?

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 6762 and 6775 is 45812550.

LCM(6762,6775) = 45812550

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Least Common Multiple of 6762 and 6775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6762 and 6775, than apply into the LCM equation.

GCF(6762,6775) = 1
LCM(6762,6775) = ( 6762 × 6775) / 1
LCM(6762,6775) = 45812550 / 1
LCM(6762,6775) = 45812550

Least Common Multiple (LCM) of 6762 and 6775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6762 and 6775. First we will calculate the prime factors of 6762 and 6775.

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

Prime Factorization of 6775

Prime factors of 6775 are 5, 271. Prime factorization of 6775 in exponential form is:

6775 = 52 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 6762 and 6775.

LCM(6762,6775) = 21 × 31 × 72 × 231 × 52 × 2711
LCM(6762,6775) = 45812550