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What is the Least Common Multiple of 63230 and 63236?

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 63236 is 1999206140.

LCM(63230,63236) = 1999206140

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Least Common Multiple of 63230 and 63236 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 63236, than apply into the LCM equation.

GCF(63230,63236) = 2
LCM(63230,63236) = ( 63230 × 63236) / 2
LCM(63230,63236) = 3998412280 / 2
LCM(63230,63236) = 1999206140

Least Common Multiple (LCM) of 63230 and 63236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63230 and 63236. First we will calculate the prime factors of 63230 and 63236.

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 63236

Prime factors of 63236 are 2, 15809. Prime factorization of 63236 in exponential form is:

63236 = 22 × 158091

Now multiplying the highest exponent prime factors to calculate the LCM of 63230 and 63236.

LCM(63230,63236) = 22 × 51 × 63231 × 158091
LCM(63230,63236) = 1999206140