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What is the Least Common Multiple of 14031 and 14048?

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 14031 and 14048 is 197107488.

LCM(14031,14048) = 197107488

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Least Common Multiple of 14031 and 14048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14031 and 14048, than apply into the LCM equation.

GCF(14031,14048) = 1
LCM(14031,14048) = ( 14031 × 14048) / 1
LCM(14031,14048) = 197107488 / 1
LCM(14031,14048) = 197107488

Least Common Multiple (LCM) of 14031 and 14048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14031 and 14048. First we will calculate the prime factors of 14031 and 14048.

Prime Factorization of 14031

Prime factors of 14031 are 3, 1559. Prime factorization of 14031 in exponential form is:

14031 = 32 × 15591

Prime Factorization of 14048

Prime factors of 14048 are 2, 439. Prime factorization of 14048 in exponential form is:

14048 = 25 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 14031 and 14048.

LCM(14031,14048) = 32 × 15591 × 25 × 4391
LCM(14031,14048) = 197107488