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What is the Least Common Multiple of 16040 and 16047?

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 16040 and 16047 is 257393880.

LCM(16040,16047) = 257393880

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Least Common Multiple of 16040 and 16047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16040 and 16047, than apply into the LCM equation.

GCF(16040,16047) = 1
LCM(16040,16047) = ( 16040 × 16047) / 1
LCM(16040,16047) = 257393880 / 1
LCM(16040,16047) = 257393880

Least Common Multiple (LCM) of 16040 and 16047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16047. First we will calculate the prime factors of 16040 and 16047.

Prime Factorization of 16040

Prime factors of 16040 are 2, 5, 401. Prime factorization of 16040 in exponential form is:

16040 = 23 × 51 × 4011

Prime Factorization of 16047

Prime factors of 16047 are 3, 1783. Prime factorization of 16047 in exponential form is:

16047 = 32 × 17831

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16047.

LCM(16040,16047) = 23 × 51 × 4011 × 32 × 17831
LCM(16040,16047) = 257393880