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What is the Least Common Multiple of 63229 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 63229 and 63236 is 3998349044.

LCM(63229,63236) = 3998349044

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Least Common Multiple of 63229 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 63229 and 63236, than apply into the LCM equation.

GCF(63229,63236) = 1
LCM(63229,63236) = ( 63229 × 63236) / 1
LCM(63229,63236) = 3998349044 / 1
LCM(63229,63236) = 3998349044

Least Common Multiple (LCM) of 63229 and 63236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63229 and 63236. First we will calculate the prime factors of 63229 and 63236.

Prime Factorization of 63229

Prime factors of 63229 are 53, 1193. Prime factorization of 63229 in exponential form is:

63229 = 531 × 11931

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 63229 and 63236.

LCM(63229,63236) = 531 × 11931 × 22 × 158091
LCM(63229,63236) = 3998349044