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What is the Least Common Multiple of 63322 and 63327?

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 63322 and 63327 is 4009992294.

LCM(63322,63327) = 4009992294

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Least Common Multiple of 63322 and 63327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63322 and 63327, than apply into the LCM equation.

GCF(63322,63327) = 1
LCM(63322,63327) = ( 63322 × 63327) / 1
LCM(63322,63327) = 4009992294 / 1
LCM(63322,63327) = 4009992294

Least Common Multiple (LCM) of 63322 and 63327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63322 and 63327. First we will calculate the prime factors of 63322 and 63327.

Prime Factorization of 63322

Prime factors of 63322 are 2, 7, 4523. Prime factorization of 63322 in exponential form is:

63322 = 21 × 71 × 45231

Prime Factorization of 63327

Prime factors of 63327 are 3, 11, 19, 101. Prime factorization of 63327 in exponential form is:

63327 = 31 × 111 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 63322 and 63327.

LCM(63322,63327) = 21 × 71 × 45231 × 31 × 111 × 191 × 1011
LCM(63322,63327) = 4009992294