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What is the Least Common Multiple of 2768 and 2780?

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 2768 and 2780 is 1923760.

LCM(2768,2780) = 1923760

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Least Common Multiple of 2768 and 2780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2768 and 2780, than apply into the LCM equation.

GCF(2768,2780) = 4
LCM(2768,2780) = ( 2768 × 2780) / 4
LCM(2768,2780) = 7695040 / 4
LCM(2768,2780) = 1923760

Least Common Multiple (LCM) of 2768 and 2780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2768 and 2780. First we will calculate the prime factors of 2768 and 2780.

Prime Factorization of 2768

Prime factors of 2768 are 2, 173. Prime factorization of 2768 in exponential form is:

2768 = 24 × 1731

Prime Factorization of 2780

Prime factors of 2780 are 2, 5, 139. Prime factorization of 2780 in exponential form is:

2780 = 22 × 51 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 2768 and 2780.

LCM(2768,2780) = 24 × 1731 × 51 × 1391
LCM(2768,2780) = 1923760