What is the Least Common Multiple of 63896 and 63902?
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 63896 and 63902 is 2041541096.
LCM(63896,63902) = 2041541096
Least Common Multiple of 63896 and 63902 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63896 and 63902, than apply into the LCM equation.
GCF(63896,63902) = 2
LCM(63896,63902) = ( 63896 × 63902) / 2
LCM(63896,63902) = 4083082192 / 2
LCM(63896,63902) = 2041541096
Least Common Multiple (LCM) of 63896 and 63902 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63896 and 63902. First we will calculate the prime factors of 63896 and 63902.
Prime Factorization of 63896
Prime factors of 63896 are 2, 7, 163. Prime factorization of 63896 in exponential form is:
63896 = 23 × 72 × 1631
Prime Factorization of 63902
Prime factors of 63902 are 2, 89, 359. Prime factorization of 63902 in exponential form is:
63902 = 21 × 891 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 63896 and 63902.
LCM(63896,63902) = 23 × 72 × 1631 × 891 × 3591
LCM(63896,63902) = 2041541096
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