What is the Least Common Multiple of 63880 and 63891?
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 63880 and 63891 is 4081357080.
LCM(63880,63891) = 4081357080
Least Common Multiple of 63880 and 63891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63880 and 63891, than apply into the LCM equation.
GCF(63880,63891) = 1
LCM(63880,63891) = ( 63880 × 63891) / 1
LCM(63880,63891) = 4081357080 / 1
LCM(63880,63891) = 4081357080
Least Common Multiple (LCM) of 63880 and 63891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63880 and 63891. First we will calculate the prime factors of 63880 and 63891.
Prime Factorization of 63880
Prime factors of 63880 are 2, 5, 1597. Prime factorization of 63880 in exponential form is:
63880 = 23 × 51 × 15971
Prime Factorization of 63891
Prime factors of 63891 are 3, 31, 229. Prime factorization of 63891 in exponential form is:
63891 = 32 × 311 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 63880 and 63891.
LCM(63880,63891) = 23 × 51 × 15971 × 32 × 311 × 2291
LCM(63880,63891) = 4081357080
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