What is the Least Common Multiple of 63873 and 63877?
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 63873 and 63877 is 4080015621.
LCM(63873,63877) = 4080015621
Least Common Multiple of 63873 and 63877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63873 and 63877, than apply into the LCM equation.
GCF(63873,63877) = 1
LCM(63873,63877) = ( 63873 × 63877) / 1
LCM(63873,63877) = 4080015621 / 1
LCM(63873,63877) = 4080015621
Least Common Multiple (LCM) of 63873 and 63877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63873 and 63877. First we will calculate the prime factors of 63873 and 63877.
Prime Factorization of 63873
Prime factors of 63873 are 3, 47, 151. Prime factorization of 63873 in exponential form is:
63873 = 32 × 471 × 1511
Prime Factorization of 63877
Prime factors of 63877 are 11, 5807. Prime factorization of 63877 in exponential form is:
63877 = 111 × 58071
Now multiplying the highest exponent prime factors to calculate the LCM of 63873 and 63877.
LCM(63873,63877) = 32 × 471 × 1511 × 111 × 58071
LCM(63873,63877) = 4080015621
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