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What is the Least Common Multiple of 1449 and 1453?

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 1449 and 1453 is 2105397.

LCM(1449,1453) = 2105397

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Least Common Multiple of 1449 and 1453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1449 and 1453, than apply into the LCM equation.

GCF(1449,1453) = 1
LCM(1449,1453) = ( 1449 × 1453) / 1
LCM(1449,1453) = 2105397 / 1
LCM(1449,1453) = 2105397

Least Common Multiple (LCM) of 1449 and 1453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1449 and 1453. First we will calculate the prime factors of 1449 and 1453.

Prime Factorization of 1449

Prime factors of 1449 are 3, 7, 23. Prime factorization of 1449 in exponential form is:

1449 = 32 × 71 × 231

Prime Factorization of 1453

Prime factors of 1453 are 1453. Prime factorization of 1453 in exponential form is:

1453 = 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 1449 and 1453.

LCM(1449,1453) = 32 × 71 × 231 × 14531
LCM(1449,1453) = 2105397