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What is the Least Common Multiple of 2639 and 2655?

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 2639 and 2655 is 7006545.

LCM(2639,2655) = 7006545

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Least Common Multiple of 2639 and 2655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2639 and 2655, than apply into the LCM equation.

GCF(2639,2655) = 1
LCM(2639,2655) = ( 2639 × 2655) / 1
LCM(2639,2655) = 7006545 / 1
LCM(2639,2655) = 7006545

Least Common Multiple (LCM) of 2639 and 2655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2639 and 2655. First we will calculate the prime factors of 2639 and 2655.

Prime Factorization of 2639

Prime factors of 2639 are 7, 13, 29. Prime factorization of 2639 in exponential form is:

2639 = 71 × 131 × 291

Prime Factorization of 2655

Prime factors of 2655 are 3, 5, 59. Prime factorization of 2655 in exponential form is:

2655 = 32 × 51 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 2639 and 2655.

LCM(2639,2655) = 71 × 131 × 291 × 32 × 51 × 591
LCM(2639,2655) = 7006545