What is the Least Common Multiple of 63899 and 63909?
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 63899 and 63909 is 4083721191.
LCM(63899,63909) = 4083721191
Least Common Multiple of 63899 and 63909 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63899 and 63909, than apply into the LCM equation.
GCF(63899,63909) = 1
LCM(63899,63909) = ( 63899 × 63909) / 1
LCM(63899,63909) = 4083721191 / 1
LCM(63899,63909) = 4083721191
Least Common Multiple (LCM) of 63899 and 63909 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63899 and 63909. First we will calculate the prime factors of 63899 and 63909.
Prime Factorization of 63899
Prime factors of 63899 are 11, 37, 157. Prime factorization of 63899 in exponential form is:
63899 = 111 × 371 × 1571
Prime Factorization of 63909
Prime factors of 63909 are 3, 263. Prime factorization of 63909 in exponential form is:
63909 = 35 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 63899 and 63909.
LCM(63899,63909) = 111 × 371 × 1571 × 35 × 2631
LCM(63899,63909) = 4083721191
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