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What is the Least Common Multiple of 10761 and 10778?

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 10761 and 10778 is 6822474.

LCM(10761,10778) = 6822474

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Least Common Multiple of 10761 and 10778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10761 and 10778, than apply into the LCM equation.

GCF(10761,10778) = 17
LCM(10761,10778) = ( 10761 × 10778) / 17
LCM(10761,10778) = 115982058 / 17
LCM(10761,10778) = 6822474

Least Common Multiple (LCM) of 10761 and 10778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10761 and 10778. First we will calculate the prime factors of 10761 and 10778.

Prime Factorization of 10761

Prime factors of 10761 are 3, 17, 211. Prime factorization of 10761 in exponential form is:

10761 = 31 × 171 × 2111

Prime Factorization of 10778

Prime factors of 10778 are 2, 17, 317. Prime factorization of 10778 in exponential form is:

10778 = 21 × 171 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 10761 and 10778.

LCM(10761,10778) = 31 × 171 × 2111 × 21 × 3171
LCM(10761,10778) = 6822474