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What is the Least Common Multiple of 16074 and 16082?

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 16074 and 16082 is 129251034.

LCM(16074,16082) = 129251034

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Least Common Multiple of 16074 and 16082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16074 and 16082, than apply into the LCM equation.

GCF(16074,16082) = 2
LCM(16074,16082) = ( 16074 × 16082) / 2
LCM(16074,16082) = 258502068 / 2
LCM(16074,16082) = 129251034

Least Common Multiple (LCM) of 16074 and 16082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16074 and 16082. First we will calculate the prime factors of 16074 and 16082.

Prime Factorization of 16074

Prime factors of 16074 are 2, 3, 19, 47. Prime factorization of 16074 in exponential form is:

16074 = 21 × 32 × 191 × 471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16074 and 16082.

LCM(16074,16082) = 21 × 32 × 191 × 471 × 111 × 171 × 431
LCM(16074,16082) = 129251034