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What is the Least Common Multiple of 63370 and 63383?

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 63370 and 63383 is 4016580710.

LCM(63370,63383) = 4016580710

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Least Common Multiple of 63370 and 63383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63370 and 63383, than apply into the LCM equation.

GCF(63370,63383) = 1
LCM(63370,63383) = ( 63370 × 63383) / 1
LCM(63370,63383) = 4016580710 / 1
LCM(63370,63383) = 4016580710

Least Common Multiple (LCM) of 63370 and 63383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63370 and 63383. First we will calculate the prime factors of 63370 and 63383.

Prime Factorization of 63370

Prime factors of 63370 are 2, 5, 6337. Prime factorization of 63370 in exponential form is:

63370 = 21 × 51 × 63371

Prime Factorization of 63383

Prime factors of 63383 are 241, 263. Prime factorization of 63383 in exponential form is:

63383 = 2411 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 63370 and 63383.

LCM(63370,63383) = 21 × 51 × 63371 × 2411 × 2631
LCM(63370,63383) = 4016580710