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What is the Least Common Multiple of 57035 and 57040?

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 57035 and 57040 is 650655280.

LCM(57035,57040) = 650655280

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Least Common Multiple of 57035 and 57040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57035 and 57040, than apply into the LCM equation.

GCF(57035,57040) = 5
LCM(57035,57040) = ( 57035 × 57040) / 5
LCM(57035,57040) = 3253276400 / 5
LCM(57035,57040) = 650655280

Least Common Multiple (LCM) of 57035 and 57040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57035 and 57040. First we will calculate the prime factors of 57035 and 57040.

Prime Factorization of 57035

Prime factors of 57035 are 5, 11, 17, 61. Prime factorization of 57035 in exponential form is:

57035 = 51 × 111 × 171 × 611

Prime Factorization of 57040

Prime factors of 57040 are 2, 5, 23, 31. Prime factorization of 57040 in exponential form is:

57040 = 24 × 51 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 57035 and 57040.

LCM(57035,57040) = 51 × 111 × 171 × 611 × 24 × 231 × 311
LCM(57035,57040) = 650655280