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What is the Least Common Multiple of 2665 and 2679?

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 2665 and 2679 is 7139535.

LCM(2665,2679) = 7139535

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Least Common Multiple of 2665 and 2679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2665 and 2679, than apply into the LCM equation.

GCF(2665,2679) = 1
LCM(2665,2679) = ( 2665 × 2679) / 1
LCM(2665,2679) = 7139535 / 1
LCM(2665,2679) = 7139535

Least Common Multiple (LCM) of 2665 and 2679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2665 and 2679. First we will calculate the prime factors of 2665 and 2679.

Prime Factorization of 2665

Prime factors of 2665 are 5, 13, 41. Prime factorization of 2665 in exponential form is:

2665 = 51 × 131 × 411

Prime Factorization of 2679

Prime factors of 2679 are 3, 19, 47. Prime factorization of 2679 in exponential form is:

2679 = 31 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2665 and 2679.

LCM(2665,2679) = 51 × 131 × 411 × 31 × 191 × 471
LCM(2665,2679) = 7139535