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What is the Least Common Multiple of 16058 and 16072?

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 16058 and 16072 is 18434584.

LCM(16058,16072) = 18434584

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Least Common Multiple of 16058 and 16072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16058 and 16072, than apply into the LCM equation.

GCF(16058,16072) = 14
LCM(16058,16072) = ( 16058 × 16072) / 14
LCM(16058,16072) = 258084176 / 14
LCM(16058,16072) = 18434584

Least Common Multiple (LCM) of 16058 and 16072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16058 and 16072. First we will calculate the prime factors of 16058 and 16072.

Prime Factorization of 16058

Prime factors of 16058 are 2, 7, 31, 37. Prime factorization of 16058 in exponential form is:

16058 = 21 × 71 × 311 × 371

Prime Factorization of 16072

Prime factors of 16072 are 2, 7, 41. Prime factorization of 16072 in exponential form is:

16072 = 23 × 72 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 16058 and 16072.

LCM(16058,16072) = 23 × 72 × 311 × 371 × 411
LCM(16058,16072) = 18434584