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What is the Least Common Multiple of 16041 and 16049?

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 16041 and 16049 is 257442009.

LCM(16041,16049) = 257442009

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Least Common Multiple of 16041 and 16049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16041 and 16049, than apply into the LCM equation.

GCF(16041,16049) = 1
LCM(16041,16049) = ( 16041 × 16049) / 1
LCM(16041,16049) = 257442009 / 1
LCM(16041,16049) = 257442009

Least Common Multiple (LCM) of 16041 and 16049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16041 and 16049. First we will calculate the prime factors of 16041 and 16049.

Prime Factorization of 16041

Prime factors of 16041 are 3, 5347. Prime factorization of 16041 in exponential form is:

16041 = 31 × 53471

Prime Factorization of 16049

Prime factors of 16049 are 11, 1459. Prime factorization of 16049 in exponential form is:

16049 = 111 × 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 16041 and 16049.

LCM(16041,16049) = 31 × 53471 × 111 × 14591
LCM(16041,16049) = 257442009