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What is the Least Common Multiple of 2883 and 2900?

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 2883 and 2900 is 8360700.

LCM(2883,2900) = 8360700

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Least Common Multiple of 2883 and 2900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2883 and 2900, than apply into the LCM equation.

GCF(2883,2900) = 1
LCM(2883,2900) = ( 2883 × 2900) / 1
LCM(2883,2900) = 8360700 / 1
LCM(2883,2900) = 8360700

Least Common Multiple (LCM) of 2883 and 2900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2883 and 2900. First we will calculate the prime factors of 2883 and 2900.

Prime Factorization of 2883

Prime factors of 2883 are 3, 31. Prime factorization of 2883 in exponential form is:

2883 = 31 × 312

Prime Factorization of 2900

Prime factors of 2900 are 2, 5, 29. Prime factorization of 2900 in exponential form is:

2900 = 22 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 2883 and 2900.

LCM(2883,2900) = 31 × 312 × 22 × 52 × 291
LCM(2883,2900) = 8360700