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What is the Least Common Multiple of 63230 and 63237?

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 63230 and 63237 is 3998475510.

LCM(63230,63237) = 3998475510

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Least Common Multiple of 63230 and 63237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63230 and 63237, than apply into the LCM equation.

GCF(63230,63237) = 1
LCM(63230,63237) = ( 63230 × 63237) / 1
LCM(63230,63237) = 3998475510 / 1
LCM(63230,63237) = 3998475510

Least Common Multiple (LCM) of 63230 and 63237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63230 and 63237. First we will calculate the prime factors of 63230 and 63237.

Prime Factorization of 63230

Prime factors of 63230 are 2, 5, 6323. Prime factorization of 63230 in exponential form is:

63230 = 21 × 51 × 63231

Prime Factorization of 63237

Prime factors of 63237 are 3, 107, 197. Prime factorization of 63237 in exponential form is:

63237 = 31 × 1071 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 63230 and 63237.

LCM(63230,63237) = 21 × 51 × 63231 × 31 × 1071 × 1971
LCM(63230,63237) = 3998475510