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What is the Least Common Multiple of 16046 and 16058?

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 16046 and 16058 is 128833334.

LCM(16046,16058) = 128833334

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Least Common Multiple of 16046 and 16058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16046 and 16058, than apply into the LCM equation.

GCF(16046,16058) = 2
LCM(16046,16058) = ( 16046 × 16058) / 2
LCM(16046,16058) = 257666668 / 2
LCM(16046,16058) = 128833334

Least Common Multiple (LCM) of 16046 and 16058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16046 and 16058. First we will calculate the prime factors of 16046 and 16058.

Prime Factorization of 16046

Prime factors of 16046 are 2, 71, 113. Prime factorization of 16046 in exponential form is:

16046 = 21 × 711 × 1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16046 and 16058.

LCM(16046,16058) = 21 × 711 × 1131 × 71 × 311 × 371
LCM(16046,16058) = 128833334