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What is the Least Common Multiple of 16036 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 16036 and 16049 is 257361764.

LCM(16036,16049) = 257361764

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Least Common Multiple of 16036 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 16036 and 16049, than apply into the LCM equation.

GCF(16036,16049) = 1
LCM(16036,16049) = ( 16036 × 16049) / 1
LCM(16036,16049) = 257361764 / 1
LCM(16036,16049) = 257361764

Least Common Multiple (LCM) of 16036 and 16049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16036 and 16049. First we will calculate the prime factors of 16036 and 16049.

Prime Factorization of 16036

Prime factors of 16036 are 2, 19, 211. Prime factorization of 16036 in exponential form is:

16036 = 22 × 191 × 2111

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 16036 and 16049.

LCM(16036,16049) = 22 × 191 × 2111 × 111 × 14591
LCM(16036,16049) = 257361764