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What is the Least Common Multiple of 16082 and 16092?

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 16082 and 16092 is 129395772.

LCM(16082,16092) = 129395772

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Least Common Multiple of 16082 and 16092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16082 and 16092, than apply into the LCM equation.

GCF(16082,16092) = 2
LCM(16082,16092) = ( 16082 × 16092) / 2
LCM(16082,16092) = 258791544 / 2
LCM(16082,16092) = 129395772

Least Common Multiple (LCM) of 16082 and 16092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16082 and 16092. First we will calculate the prime factors of 16082 and 16092.

Prime Factorization of 16082

Prime factors of 16082 are 2, 11, 17, 43. Prime factorization of 16082 in exponential form is:

16082 = 21 × 111 × 171 × 431

Prime Factorization of 16092

Prime factors of 16092 are 2, 3, 149. Prime factorization of 16092 in exponential form is:

16092 = 22 × 33 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 16082 and 16092.

LCM(16082,16092) = 22 × 111 × 171 × 431 × 33 × 1491
LCM(16082,16092) = 129395772