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What is the Least Common Multiple of 16084 and 16088?

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 16084 and 16088 is 64689848.

LCM(16084,16088) = 64689848

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Least Common Multiple of 16084 and 16088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16084 and 16088, than apply into the LCM equation.

GCF(16084,16088) = 4
LCM(16084,16088) = ( 16084 × 16088) / 4
LCM(16084,16088) = 258759392 / 4
LCM(16084,16088) = 64689848

Least Common Multiple (LCM) of 16084 and 16088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16084 and 16088. First we will calculate the prime factors of 16084 and 16088.

Prime Factorization of 16084

Prime factors of 16084 are 2, 4021. Prime factorization of 16084 in exponential form is:

16084 = 22 × 40211

Prime Factorization of 16088

Prime factors of 16088 are 2, 2011. Prime factorization of 16088 in exponential form is:

16088 = 23 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 16084 and 16088.

LCM(16084,16088) = 23 × 40211 × 20111
LCM(16084,16088) = 64689848