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What is the Least Common Multiple of 63320 and 63329?

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 63320 and 63329 is 4009992280.

LCM(63320,63329) = 4009992280

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Least Common Multiple of 63320 and 63329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63320 and 63329, than apply into the LCM equation.

GCF(63320,63329) = 1
LCM(63320,63329) = ( 63320 × 63329) / 1
LCM(63320,63329) = 4009992280 / 1
LCM(63320,63329) = 4009992280

Least Common Multiple (LCM) of 63320 and 63329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63320 and 63329. First we will calculate the prime factors of 63320 and 63329.

Prime Factorization of 63320

Prime factors of 63320 are 2, 5, 1583. Prime factorization of 63320 in exponential form is:

63320 = 23 × 51 × 15831

Prime Factorization of 63329

Prime factors of 63329 are 7, 83, 109. Prime factorization of 63329 in exponential form is:

63329 = 71 × 831 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 63320 and 63329.

LCM(63320,63329) = 23 × 51 × 15831 × 71 × 831 × 1091
LCM(63320,63329) = 4009992280