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What is the Least Common Multiple of 63233 and 63250?

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 63233 and 63250 is 3999487250.

LCM(63233,63250) = 3999487250

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Least Common Multiple of 63233 and 63250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63233 and 63250, than apply into the LCM equation.

GCF(63233,63250) = 1
LCM(63233,63250) = ( 63233 × 63250) / 1
LCM(63233,63250) = 3999487250 / 1
LCM(63233,63250) = 3999487250

Least Common Multiple (LCM) of 63233 and 63250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63233 and 63250. First we will calculate the prime factors of 63233 and 63250.

Prime Factorization of 63233

Prime factors of 63233 are 37, 1709. Prime factorization of 63233 in exponential form is:

63233 = 371 × 17091

Prime Factorization of 63250

Prime factors of 63250 are 2, 5, 11, 23. Prime factorization of 63250 in exponential form is:

63250 = 21 × 53 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 63233 and 63250.

LCM(63233,63250) = 371 × 17091 × 21 × 53 × 111 × 231
LCM(63233,63250) = 3999487250