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What is the Least Common Multiple of 2706 and 2716?

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 2706 and 2716 is 3674748.

LCM(2706,2716) = 3674748

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Least Common Multiple of 2706 and 2716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2706 and 2716, than apply into the LCM equation.

GCF(2706,2716) = 2
LCM(2706,2716) = ( 2706 × 2716) / 2
LCM(2706,2716) = 7349496 / 2
LCM(2706,2716) = 3674748

Least Common Multiple (LCM) of 2706 and 2716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2706 and 2716. First we will calculate the prime factors of 2706 and 2716.

Prime Factorization of 2706

Prime factors of 2706 are 2, 3, 11, 41. Prime factorization of 2706 in exponential form is:

2706 = 21 × 31 × 111 × 411

Prime Factorization of 2716

Prime factors of 2716 are 2, 7, 97. Prime factorization of 2716 in exponential form is:

2716 = 22 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 2706 and 2716.

LCM(2706,2716) = 22 × 31 × 111 × 411 × 71 × 971
LCM(2706,2716) = 3674748