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What is the Least Common Multiple of 2439 and 2453?

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 2439 and 2453 is 5982867.

LCM(2439,2453) = 5982867

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Least Common Multiple of 2439 and 2453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2439 and 2453, than apply into the LCM equation.

GCF(2439,2453) = 1
LCM(2439,2453) = ( 2439 × 2453) / 1
LCM(2439,2453) = 5982867 / 1
LCM(2439,2453) = 5982867

Least Common Multiple (LCM) of 2439 and 2453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2439 and 2453. First we will calculate the prime factors of 2439 and 2453.

Prime Factorization of 2439

Prime factors of 2439 are 3, 271. Prime factorization of 2439 in exponential form is:

2439 = 32 × 2711

Prime Factorization of 2453

Prime factors of 2453 are 11, 223. Prime factorization of 2453 in exponential form is:

2453 = 111 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 2439 and 2453.

LCM(2439,2453) = 32 × 2711 × 111 × 2231
LCM(2439,2453) = 5982867