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What is the Least Common Multiple of 16054 and 16068?

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 16054 and 16068 is 128977836.

LCM(16054,16068) = 128977836

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Least Common Multiple of 16054 and 16068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16054 and 16068, than apply into the LCM equation.

GCF(16054,16068) = 2
LCM(16054,16068) = ( 16054 × 16068) / 2
LCM(16054,16068) = 257955672 / 2
LCM(16054,16068) = 128977836

Least Common Multiple (LCM) of 16054 and 16068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16054 and 16068. First we will calculate the prime factors of 16054 and 16068.

Prime Factorization of 16054

Prime factors of 16054 are 2, 23, 349. Prime factorization of 16054 in exponential form is:

16054 = 21 × 231 × 3491

Prime Factorization of 16068

Prime factors of 16068 are 2, 3, 13, 103. Prime factorization of 16068 in exponential form is:

16068 = 22 × 31 × 131 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 16054 and 16068.

LCM(16054,16068) = 22 × 231 × 3491 × 31 × 131 × 1031
LCM(16054,16068) = 128977836