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What is the Least Common Multiple of 63035 and 63051?

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 63051 is 3974419785.

LCM(63035,63051) = 3974419785

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Least Common Multiple of 63035 and 63051 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 63051, than apply into the LCM equation.

GCF(63035,63051) = 1
LCM(63035,63051) = ( 63035 × 63051) / 1
LCM(63035,63051) = 3974419785 / 1
LCM(63035,63051) = 3974419785

Least Common Multiple (LCM) of 63035 and 63051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63035 and 63051. First we will calculate the prime factors of 63035 and 63051.

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 63051

Prime factors of 63051 are 3, 21017. Prime factorization of 63051 in exponential form is:

63051 = 31 × 210171

Now multiplying the highest exponent prime factors to calculate the LCM of 63035 and 63051.

LCM(63035,63051) = 51 × 71 × 18011 × 31 × 210171
LCM(63035,63051) = 3974419785