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What is the Least Common Multiple of 63018 and 63038?

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 63018 and 63038 is 1986264342.

LCM(63018,63038) = 1986264342

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Least Common Multiple of 63018 and 63038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63018 and 63038, than apply into the LCM equation.

GCF(63018,63038) = 2
LCM(63018,63038) = ( 63018 × 63038) / 2
LCM(63018,63038) = 3972528684 / 2
LCM(63018,63038) = 1986264342

Least Common Multiple (LCM) of 63018 and 63038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63018 and 63038. First we will calculate the prime factors of 63018 and 63038.

Prime Factorization of 63018

Prime factors of 63018 are 2, 3, 389. Prime factorization of 63018 in exponential form is:

63018 = 21 × 34 × 3891

Prime Factorization of 63038

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

63038 = 21 × 431 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 63018 and 63038.

LCM(63018,63038) = 21 × 34 × 3891 × 431 × 7331
LCM(63018,63038) = 1986264342