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What is the Least Common Multiple of 63831 and 63850?

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 63850 is 4075609350.

LCM(63831,63850) = 4075609350

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Least Common Multiple of 63831 and 63850 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 63850, than apply into the LCM equation.

GCF(63831,63850) = 1
LCM(63831,63850) = ( 63831 × 63850) / 1
LCM(63831,63850) = 4075609350 / 1
LCM(63831,63850) = 4075609350

Least Common Multiple (LCM) of 63831 and 63850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63831 and 63850. First we will calculate the prime factors of 63831 and 63850.

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 63850

Prime factors of 63850 are 2, 5, 1277. Prime factorization of 63850 in exponential form is:

63850 = 21 × 52 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 63831 and 63850.

LCM(63831,63850) = 31 × 212771 × 21 × 52 × 12771
LCM(63831,63850) = 4075609350