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What is the Least Common Multiple of 16014 and 16023?

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 16023 is 85530774.

LCM(16014,16023) = 85530774

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Least Common Multiple of 16014 and 16023 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 16023, than apply into the LCM equation.

GCF(16014,16023) = 3
LCM(16014,16023) = ( 16014 × 16023) / 3
LCM(16014,16023) = 256592322 / 3
LCM(16014,16023) = 85530774

Least Common Multiple (LCM) of 16014 and 16023 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16014 and 16023. First we will calculate the prime factors of 16014 and 16023.

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 16023

Prime factors of 16023 are 3, 7, 109. Prime factorization of 16023 in exponential form is:

16023 = 31 × 72 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 16014 and 16023.

LCM(16014,16023) = 21 × 31 × 171 × 1571 × 72 × 1091
LCM(16014,16023) = 85530774