What is the Least Common Multiple of 63808 and 63818?
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 63808 and 63818 is 2036049472.
LCM(63808,63818) = 2036049472
Least Common Multiple of 63808 and 63818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63808 and 63818, than apply into the LCM equation.
GCF(63808,63818) = 2
LCM(63808,63818) = ( 63808 × 63818) / 2
LCM(63808,63818) = 4072098944 / 2
LCM(63808,63818) = 2036049472
Least Common Multiple (LCM) of 63808 and 63818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63808 and 63818. First we will calculate the prime factors of 63808 and 63818.
Prime Factorization of 63808
Prime factors of 63808 are 2, 997. Prime factorization of 63808 in exponential form is:
63808 = 26 × 9971
Prime Factorization of 63818
Prime factors of 63818 are 2, 17, 1877. Prime factorization of 63818 in exponential form is:
63818 = 21 × 171 × 18771
Now multiplying the highest exponent prime factors to calculate the LCM of 63808 and 63818.
LCM(63808,63818) = 26 × 9971 × 171 × 18771
LCM(63808,63818) = 2036049472
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