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What is the Least Common Multiple of 2710 and 2728?

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 2710 and 2728 is 3696440.

LCM(2710,2728) = 3696440

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Least Common Multiple of 2710 and 2728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2710 and 2728, than apply into the LCM equation.

GCF(2710,2728) = 2
LCM(2710,2728) = ( 2710 × 2728) / 2
LCM(2710,2728) = 7392880 / 2
LCM(2710,2728) = 3696440

Least Common Multiple (LCM) of 2710 and 2728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2710 and 2728. First we will calculate the prime factors of 2710 and 2728.

Prime Factorization of 2710

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

2710 = 21 × 51 × 2711

Prime Factorization of 2728

Prime factors of 2728 are 2, 11, 31. Prime factorization of 2728 in exponential form is:

2728 = 23 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 2710 and 2728.

LCM(2710,2728) = 23 × 51 × 2711 × 111 × 311
LCM(2710,2728) = 3696440