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What is the Least Common Multiple of 63035 and 63040?

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 63035 and 63040 is 794745280.

LCM(63035,63040) = 794745280

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Least Common Multiple of 63035 and 63040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63035 and 63040, than apply into the LCM equation.

GCF(63035,63040) = 5
LCM(63035,63040) = ( 63035 × 63040) / 5
LCM(63035,63040) = 3973726400 / 5
LCM(63035,63040) = 794745280

Least Common Multiple (LCM) of 63035 and 63040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63035 and 63040. First we will calculate the prime factors of 63035 and 63040.

Prime Factorization of 63035

Prime factors of 63035 are 5, 7, 1801. Prime factorization of 63035 in exponential form is:

63035 = 51 × 71 × 18011

Prime Factorization of 63040

Prime factors of 63040 are 2, 5, 197. Prime factorization of 63040 in exponential form is:

63040 = 26 × 51 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 63035 and 63040.

LCM(63035,63040) = 51 × 71 × 18011 × 26 × 1971
LCM(63035,63040) = 794745280