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What is the Least Common Multiple of 16024 and 16034?

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 16024 and 16034 is 128464408.

LCM(16024,16034) = 128464408

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Least Common Multiple of 16024 and 16034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16024 and 16034, than apply into the LCM equation.

GCF(16024,16034) = 2
LCM(16024,16034) = ( 16024 × 16034) / 2
LCM(16024,16034) = 256928816 / 2
LCM(16024,16034) = 128464408

Least Common Multiple (LCM) of 16024 and 16034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16024 and 16034. First we will calculate the prime factors of 16024 and 16034.

Prime Factorization of 16024

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

16024 = 23 × 20031

Prime Factorization of 16034

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

16034 = 21 × 80171

Now multiplying the highest exponent prime factors to calculate the LCM of 16024 and 16034.

LCM(16024,16034) = 23 × 20031 × 80171
LCM(16024,16034) = 128464408