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What is the Least Common Multiple of 2825 and 2833?

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 2825 and 2833 is 8003225.

LCM(2825,2833) = 8003225

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Least Common Multiple of 2825 and 2833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2825 and 2833, than apply into the LCM equation.

GCF(2825,2833) = 1
LCM(2825,2833) = ( 2825 × 2833) / 1
LCM(2825,2833) = 8003225 / 1
LCM(2825,2833) = 8003225

Least Common Multiple (LCM) of 2825 and 2833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2825 and 2833. First we will calculate the prime factors of 2825 and 2833.

Prime Factorization of 2825

Prime factors of 2825 are 5, 113. Prime factorization of 2825 in exponential form is:

2825 = 52 × 1131

Prime Factorization of 2833

Prime factors of 2833 are 2833. Prime factorization of 2833 in exponential form is:

2833 = 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 2825 and 2833.

LCM(2825,2833) = 52 × 1131 × 28331
LCM(2825,2833) = 8003225