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What is the Least Common Multiple of 63361 and 63380?

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 63361 and 63380 is 4015820180.

LCM(63361,63380) = 4015820180

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Least Common Multiple of 63361 and 63380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63361 and 63380, than apply into the LCM equation.

GCF(63361,63380) = 1
LCM(63361,63380) = ( 63361 × 63380) / 1
LCM(63361,63380) = 4015820180 / 1
LCM(63361,63380) = 4015820180

Least Common Multiple (LCM) of 63361 and 63380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63361 and 63380. First we will calculate the prime factors of 63361 and 63380.

Prime Factorization of 63361

Prime factors of 63361 are 63361. Prime factorization of 63361 in exponential form is:

63361 = 633611

Prime Factorization of 63380

Prime factors of 63380 are 2, 5, 3169. Prime factorization of 63380 in exponential form is:

63380 = 22 × 51 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 63361 and 63380.

LCM(63361,63380) = 633611 × 22 × 51 × 31691
LCM(63361,63380) = 4015820180