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What is the Least Common Multiple of 16124 and 16144?

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 16124 and 16144 is 65076464.

LCM(16124,16144) = 65076464

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Least Common Multiple of 16124 and 16144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16124 and 16144, than apply into the LCM equation.

GCF(16124,16144) = 4
LCM(16124,16144) = ( 16124 × 16144) / 4
LCM(16124,16144) = 260305856 / 4
LCM(16124,16144) = 65076464

Least Common Multiple (LCM) of 16124 and 16144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16124 and 16144. First we will calculate the prime factors of 16124 and 16144.

Prime Factorization of 16124

Prime factors of 16124 are 2, 29, 139. Prime factorization of 16124 in exponential form is:

16124 = 22 × 291 × 1391

Prime Factorization of 16144

Prime factors of 16144 are 2, 1009. Prime factorization of 16144 in exponential form is:

16144 = 24 × 10091

Now multiplying the highest exponent prime factors to calculate the LCM of 16124 and 16144.

LCM(16124,16144) = 24 × 291 × 1391 × 10091
LCM(16124,16144) = 65076464