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What is the Least Common Multiple of 2888 and 2894?

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 2894 is 4178936.

LCM(2888,2894) = 4178936

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Least Common Multiple of 2888 and 2894 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 2894, than apply into the LCM equation.

GCF(2888,2894) = 2
LCM(2888,2894) = ( 2888 × 2894) / 2
LCM(2888,2894) = 8357872 / 2
LCM(2888,2894) = 4178936

Least Common Multiple (LCM) of 2888 and 2894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2888 and 2894. First we will calculate the prime factors of 2888 and 2894.

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 2894

Prime factors of 2894 are 2, 1447. Prime factorization of 2894 in exponential form is:

2894 = 21 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 2888 and 2894.

LCM(2888,2894) = 23 × 192 × 14471
LCM(2888,2894) = 4178936