What is the Least Common Multiple of 63874 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 63874 and 63893 is 4081101482.
LCM(63874,63893) = 4081101482
Least Common Multiple of 63874 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 63874 and 63893, than apply into the LCM equation.
GCF(63874,63893) = 1
LCM(63874,63893) = ( 63874 × 63893) / 1
LCM(63874,63893) = 4081101482 / 1
LCM(63874,63893) = 4081101482
Least Common Multiple (LCM) of 63874 and 63893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63874 and 63893. First we will calculate the prime factors of 63874 and 63893.
Prime Factorization of 63874
Prime factors of 63874 are 2, 109, 293. Prime factorization of 63874 in exponential form is:
63874 = 21 × 1091 × 2931
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 63874 and 63893.
LCM(63874,63893) = 21 × 1091 × 2931 × 1811 × 3531
LCM(63874,63893) = 4081101482
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