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What is the Least Common Multiple of 2878 and 2885?

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 2878 and 2885 is 8303030.

LCM(2878,2885) = 8303030

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Least Common Multiple of 2878 and 2885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2878 and 2885, than apply into the LCM equation.

GCF(2878,2885) = 1
LCM(2878,2885) = ( 2878 × 2885) / 1
LCM(2878,2885) = 8303030 / 1
LCM(2878,2885) = 8303030

Least Common Multiple (LCM) of 2878 and 2885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2878 and 2885. First we will calculate the prime factors of 2878 and 2885.

Prime Factorization of 2878

Prime factors of 2878 are 2, 1439. Prime factorization of 2878 in exponential form is:

2878 = 21 × 14391

Prime Factorization of 2885

Prime factors of 2885 are 5, 577. Prime factorization of 2885 in exponential form is:

2885 = 51 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 2878 and 2885.

LCM(2878,2885) = 21 × 14391 × 51 × 5771
LCM(2878,2885) = 8303030