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What is the Least Common Multiple of 63839 and 63854?

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 63839 and 63854 is 4076375506.

LCM(63839,63854) = 4076375506

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Least Common Multiple of 63839 and 63854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63839 and 63854, than apply into the LCM equation.

GCF(63839,63854) = 1
LCM(63839,63854) = ( 63839 × 63854) / 1
LCM(63839,63854) = 4076375506 / 1
LCM(63839,63854) = 4076375506

Least Common Multiple (LCM) of 63839 and 63854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63839 and 63854. First we will calculate the prime factors of 63839 and 63854.

Prime Factorization of 63839

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

63839 = 638391

Prime Factorization of 63854

Prime factors of 63854 are 2, 7, 4561. Prime factorization of 63854 in exponential form is:

63854 = 21 × 71 × 45611

Now multiplying the highest exponent prime factors to calculate the LCM of 63839 and 63854.

LCM(63839,63854) = 638391 × 21 × 71 × 45611
LCM(63839,63854) = 4076375506