What is the Least Common Multiple of 63866 and 63870?
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 63866 and 63870 is 2039560710.
LCM(63866,63870) = 2039560710
Least Common Multiple of 63866 and 63870 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63866 and 63870, than apply into the LCM equation.
GCF(63866,63870) = 2
LCM(63866,63870) = ( 63866 × 63870) / 2
LCM(63866,63870) = 4079121420 / 2
LCM(63866,63870) = 2039560710
Least Common Multiple (LCM) of 63866 and 63870 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63866 and 63870. First we will calculate the prime factors of 63866 and 63870.
Prime Factorization of 63866
Prime factors of 63866 are 2, 11, 2903. Prime factorization of 63866 in exponential form is:
63866 = 21 × 111 × 29031
Prime Factorization of 63870
Prime factors of 63870 are 2, 3, 5, 2129. Prime factorization of 63870 in exponential form is:
63870 = 21 × 31 × 51 × 21291
Now multiplying the highest exponent prime factors to calculate the LCM of 63866 and 63870.
LCM(63866,63870) = 21 × 111 × 29031 × 31 × 51 × 21291
LCM(63866,63870) = 2039560710
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