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What is the Least Common Multiple of 2884 and 2903?

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 2884 and 2903 is 8372252.

LCM(2884,2903) = 8372252

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Least Common Multiple of 2884 and 2903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2884 and 2903, than apply into the LCM equation.

GCF(2884,2903) = 1
LCM(2884,2903) = ( 2884 × 2903) / 1
LCM(2884,2903) = 8372252 / 1
LCM(2884,2903) = 8372252

Least Common Multiple (LCM) of 2884 and 2903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2884 and 2903. First we will calculate the prime factors of 2884 and 2903.

Prime Factorization of 2884

Prime factors of 2884 are 2, 7, 103. Prime factorization of 2884 in exponential form is:

2884 = 22 × 71 × 1031

Prime Factorization of 2903

Prime factors of 2903 are 2903. Prime factorization of 2903 in exponential form is:

2903 = 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 2884 and 2903.

LCM(2884,2903) = 22 × 71 × 1031 × 29031
LCM(2884,2903) = 8372252