What is the Least Common Multiple of 63905 and 63922?
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 63905 and 63922 is 4084935410.
LCM(63905,63922) = 4084935410
Least Common Multiple of 63905 and 63922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63905 and 63922, than apply into the LCM equation.
GCF(63905,63922) = 1
LCM(63905,63922) = ( 63905 × 63922) / 1
LCM(63905,63922) = 4084935410 / 1
LCM(63905,63922) = 4084935410
Least Common Multiple (LCM) of 63905 and 63922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63905 and 63922. First we will calculate the prime factors of 63905 and 63922.
Prime Factorization of 63905
Prime factors of 63905 are 5, 12781. Prime factorization of 63905 in exponential form is:
63905 = 51 × 127811
Prime Factorization of 63922
Prime factors of 63922 are 2, 31, 1031. Prime factorization of 63922 in exponential form is:
63922 = 21 × 311 × 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 63905 and 63922.
LCM(63905,63922) = 51 × 127811 × 21 × 311 × 10311
LCM(63905,63922) = 4084935410
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