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What is the Least Common Multiple of 63038 and 63043?

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 63038 and 63043 is 3974104634.

LCM(63038,63043) = 3974104634

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Least Common Multiple of 63038 and 63043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63038 and 63043, than apply into the LCM equation.

GCF(63038,63043) = 1
LCM(63038,63043) = ( 63038 × 63043) / 1
LCM(63038,63043) = 3974104634 / 1
LCM(63038,63043) = 3974104634

Least Common Multiple (LCM) of 63038 and 63043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63038 and 63043. First we will calculate the prime factors of 63038 and 63043.

Prime Factorization of 63038

Prime factors of 63038 are 2, 43, 733. Prime factorization of 63038 in exponential form is:

63038 = 21 × 431 × 7331

Prime Factorization of 63043

Prime factors of 63043 are 23, 2741. Prime factorization of 63043 in exponential form is:

63043 = 231 × 27411

Now multiplying the highest exponent prime factors to calculate the LCM of 63038 and 63043.

LCM(63038,63043) = 21 × 431 × 7331 × 231 × 27411
LCM(63038,63043) = 3974104634