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What is the Least Common Multiple of 63831 and 63839?

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 63831 and 63839 is 4074907209.

LCM(63831,63839) = 4074907209

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Least Common Multiple of 63831 and 63839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63831 and 63839, than apply into the LCM equation.

GCF(63831,63839) = 1
LCM(63831,63839) = ( 63831 × 63839) / 1
LCM(63831,63839) = 4074907209 / 1
LCM(63831,63839) = 4074907209

Least Common Multiple (LCM) of 63831 and 63839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63831 and 63839. First we will calculate the prime factors of 63831 and 63839.

Prime Factorization of 63831

Prime factors of 63831 are 3, 21277. Prime factorization of 63831 in exponential form is:

63831 = 31 × 212771

Prime Factorization of 63839

Prime factors of 63839 are 63839. Prime factorization of 63839 in exponential form is:

63839 = 638391

Now multiplying the highest exponent prime factors to calculate the LCM of 63831 and 63839.

LCM(63831,63839) = 31 × 212771 × 638391
LCM(63831,63839) = 4074907209