What is the Least Common Multiple of 63862 and 63866?
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 63862 and 63866 is 2039305246.
LCM(63862,63866) = 2039305246
Least Common Multiple of 63862 and 63866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63862 and 63866, than apply into the LCM equation.
GCF(63862,63866) = 2
LCM(63862,63866) = ( 63862 × 63866) / 2
LCM(63862,63866) = 4078610492 / 2
LCM(63862,63866) = 2039305246
Least Common Multiple (LCM) of 63862 and 63866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63862 and 63866. First we will calculate the prime factors of 63862 and 63866.
Prime Factorization of 63862
Prime factors of 63862 are 2, 37, 863. Prime factorization of 63862 in exponential form is:
63862 = 21 × 371 × 8631
Prime Factorization of 63866
Prime factors of 63866 are 2, 11, 2903. Prime factorization of 63866 in exponential form is:
63866 = 21 × 111 × 29031
Now multiplying the highest exponent prime factors to calculate the LCM of 63862 and 63866.
LCM(63862,63866) = 21 × 371 × 8631 × 111 × 29031
LCM(63862,63866) = 2039305246
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