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What is the Least Common Multiple of 16040 and 16057?

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 16057 is 257554280.

LCM(16040,16057) = 257554280

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Least Common Multiple of 16040 and 16057 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 16057, than apply into the LCM equation.

GCF(16040,16057) = 1
LCM(16040,16057) = ( 16040 × 16057) / 1
LCM(16040,16057) = 257554280 / 1
LCM(16040,16057) = 257554280

Least Common Multiple (LCM) of 16040 and 16057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16057. First we will calculate the prime factors of 16040 and 16057.

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 16057

Prime factors of 16057 are 16057. Prime factorization of 16057 in exponential form is:

16057 = 160571

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16057.

LCM(16040,16057) = 23 × 51 × 4011 × 160571
LCM(16040,16057) = 257554280