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What is the Least Common Multiple of 16014 and 16024?

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 16014 and 16024 is 128304168.

LCM(16014,16024) = 128304168

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Least Common Multiple of 16014 and 16024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16014 and 16024, than apply into the LCM equation.

GCF(16014,16024) = 2
LCM(16014,16024) = ( 16014 × 16024) / 2
LCM(16014,16024) = 256608336 / 2
LCM(16014,16024) = 128304168

Least Common Multiple (LCM) of 16014 and 16024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16014 and 16024. First we will calculate the prime factors of 16014 and 16024.

Prime Factorization of 16014

Prime factors of 16014 are 2, 3, 17, 157. Prime factorization of 16014 in exponential form is:

16014 = 21 × 31 × 171 × 1571

Prime Factorization of 16024

Prime factors of 16024 are 2, 2003. Prime factorization of 16024 in exponential form is:

16024 = 23 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 16014 and 16024.

LCM(16014,16024) = 23 × 31 × 171 × 1571 × 20031
LCM(16014,16024) = 128304168