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What is the Least Common Multiple of 2888 and 2899?

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 2888 and 2899 is 8372312.

LCM(2888,2899) = 8372312

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Least Common Multiple of 2888 and 2899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2888 and 2899, than apply into the LCM equation.

GCF(2888,2899) = 1
LCM(2888,2899) = ( 2888 × 2899) / 1
LCM(2888,2899) = 8372312 / 1
LCM(2888,2899) = 8372312

Least Common Multiple (LCM) of 2888 and 2899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2888 and 2899. First we will calculate the prime factors of 2888 and 2899.

Prime Factorization of 2888

Prime factors of 2888 are 2, 19. Prime factorization of 2888 in exponential form is:

2888 = 23 × 192

Prime Factorization of 2899

Prime factors of 2899 are 13, 223. Prime factorization of 2899 in exponential form is:

2899 = 131 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2888 and 2899.

LCM(2888,2899) = 23 × 192 × 131 × 2231
LCM(2888,2899) = 8372312