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What is the Least Common Multiple of 16034 and 16045?

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 16034 and 16045 is 257265530.

LCM(16034,16045) = 257265530

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Least Common Multiple of 16034 and 16045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16034 and 16045, than apply into the LCM equation.

GCF(16034,16045) = 1
LCM(16034,16045) = ( 16034 × 16045) / 1
LCM(16034,16045) = 257265530 / 1
LCM(16034,16045) = 257265530

Least Common Multiple (LCM) of 16034 and 16045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16034 and 16045. First we will calculate the prime factors of 16034 and 16045.

Prime Factorization of 16034

Prime factors of 16034 are 2, 8017. Prime factorization of 16034 in exponential form is:

16034 = 21 × 80171

Prime Factorization of 16045

Prime factors of 16045 are 5, 3209. Prime factorization of 16045 in exponential form is:

16045 = 51 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 16034 and 16045.

LCM(16034,16045) = 21 × 80171 × 51 × 32091
LCM(16034,16045) = 257265530