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What is the Least Common Multiple of 2754 and 2771?

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 2754 and 2771 is 448902.

LCM(2754,2771) = 448902

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Least Common Multiple of 2754 and 2771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2754 and 2771, than apply into the LCM equation.

GCF(2754,2771) = 17
LCM(2754,2771) = ( 2754 × 2771) / 17
LCM(2754,2771) = 7631334 / 17
LCM(2754,2771) = 448902

Least Common Multiple (LCM) of 2754 and 2771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2754 and 2771. First we will calculate the prime factors of 2754 and 2771.

Prime Factorization of 2754

Prime factors of 2754 are 2, 3, 17. Prime factorization of 2754 in exponential form is:

2754 = 21 × 34 × 171

Prime Factorization of 2771

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

2771 = 171 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2754 and 2771.

LCM(2754,2771) = 21 × 34 × 171 × 1631
LCM(2754,2771) = 448902