What is the Least Common Multiple of 63879 and 63893?
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 63879 and 63893 is 4081420947.
LCM(63879,63893) = 4081420947
Least Common Multiple of 63879 and 63893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63879 and 63893, than apply into the LCM equation.
GCF(63879,63893) = 1
LCM(63879,63893) = ( 63879 × 63893) / 1
LCM(63879,63893) = 4081420947 / 1
LCM(63879,63893) = 4081420947
Least Common Multiple (LCM) of 63879 and 63893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63879 and 63893. First we will calculate the prime factors of 63879 and 63893.
Prime Factorization of 63879
Prime factors of 63879 are 3, 107, 199. Prime factorization of 63879 in exponential form is:
63879 = 31 × 1071 × 1991
Prime Factorization of 63893
Prime factors of 63893 are 181, 353. Prime factorization of 63893 in exponential form is:
63893 = 1811 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 63879 and 63893.
LCM(63879,63893) = 31 × 1071 × 1991 × 1811 × 3531
LCM(63879,63893) = 4081420947
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