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What is the Least Common Multiple of 2771 and 2783?

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 2771 and 2783 is 7711693.

LCM(2771,2783) = 7711693

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Least Common Multiple of 2771 and 2783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2771 and 2783, than apply into the LCM equation.

GCF(2771,2783) = 1
LCM(2771,2783) = ( 2771 × 2783) / 1
LCM(2771,2783) = 7711693 / 1
LCM(2771,2783) = 7711693

Least Common Multiple (LCM) of 2771 and 2783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2771 and 2783. First we will calculate the prime factors of 2771 and 2783.

Prime Factorization of 2771

Prime factors of 2771 are 17, 163. Prime factorization of 2771 in exponential form is:

2771 = 171 × 1631

Prime Factorization of 2783

Prime factors of 2783 are 11, 23. Prime factorization of 2783 in exponential form is:

2783 = 112 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2771 and 2783.

LCM(2771,2783) = 171 × 1631 × 112 × 231
LCM(2771,2783) = 7711693