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What is the Least Common Multiple of 2706 and 2710?

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 2710 is 3666630.

LCM(2706,2710) = 3666630

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Least Common Multiple of 2706 and 2710 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 2710, than apply into the LCM equation.

GCF(2706,2710) = 2
LCM(2706,2710) = ( 2706 × 2710) / 2
LCM(2706,2710) = 7333260 / 2
LCM(2706,2710) = 3666630

Least Common Multiple (LCM) of 2706 and 2710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2706 and 2710. First we will calculate the prime factors of 2706 and 2710.

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 2710

Prime factors of 2710 are 2, 5, 271. Prime factorization of 2710 in exponential form is:

2710 = 21 × 51 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 2706 and 2710.

LCM(2706,2710) = 21 × 31 × 111 × 411 × 51 × 2711
LCM(2706,2710) = 3666630