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What is the Least Common Multiple of 20483 and 20489?

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 20483 and 20489 is 419676187.

LCM(20483,20489) = 419676187

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Least Common Multiple of 20483 and 20489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20483 and 20489, than apply into the LCM equation.

GCF(20483,20489) = 1
LCM(20483,20489) = ( 20483 × 20489) / 1
LCM(20483,20489) = 419676187 / 1
LCM(20483,20489) = 419676187

Least Common Multiple (LCM) of 20483 and 20489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20483 and 20489. First we will calculate the prime factors of 20483 and 20489.

Prime Factorization of 20483

Prime factors of 20483 are 20483. Prime factorization of 20483 in exponential form is:

20483 = 204831

Prime Factorization of 20489

Prime factors of 20489 are 7, 2927. Prime factorization of 20489 in exponential form is:

20489 = 71 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 20483 and 20489.

LCM(20483,20489) = 204831 × 71 × 29271
LCM(20483,20489) = 419676187