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What is the Least Common Multiple of 16040 and 16055?

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 16055 is 51504440.

LCM(16040,16055) = 51504440

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Least Common Multiple of 16040 and 16055 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 16055, than apply into the LCM equation.

GCF(16040,16055) = 5
LCM(16040,16055) = ( 16040 × 16055) / 5
LCM(16040,16055) = 257522200 / 5
LCM(16040,16055) = 51504440

Least Common Multiple (LCM) of 16040 and 16055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16055. First we will calculate the prime factors of 16040 and 16055.

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 16055

Prime factors of 16055 are 5, 13, 19. Prime factorization of 16055 in exponential form is:

16055 = 51 × 132 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16055.

LCM(16040,16055) = 23 × 51 × 4011 × 132 × 191
LCM(16040,16055) = 51504440