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What is the Least Common Multiple of 2708 and 2713?

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 2708 and 2713 is 7346804.

LCM(2708,2713) = 7346804

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Least Common Multiple of 2708 and 2713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2708 and 2713, than apply into the LCM equation.

GCF(2708,2713) = 1
LCM(2708,2713) = ( 2708 × 2713) / 1
LCM(2708,2713) = 7346804 / 1
LCM(2708,2713) = 7346804

Least Common Multiple (LCM) of 2708 and 2713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2708 and 2713. First we will calculate the prime factors of 2708 and 2713.

Prime Factorization of 2708

Prime factors of 2708 are 2, 677. Prime factorization of 2708 in exponential form is:

2708 = 22 × 6771

Prime Factorization of 2713

Prime factors of 2713 are 2713. Prime factorization of 2713 in exponential form is:

2713 = 27131

Now multiplying the highest exponent prime factors to calculate the LCM of 2708 and 2713.

LCM(2708,2713) = 22 × 6771 × 27131
LCM(2708,2713) = 7346804