What is the Least Common Multiple of 63922 and 63934?
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 63922 and 63934 is 2043394574.
LCM(63922,63934) = 2043394574
Least Common Multiple of 63922 and 63934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63922 and 63934, than apply into the LCM equation.
GCF(63922,63934) = 2
LCM(63922,63934) = ( 63922 × 63934) / 2
LCM(63922,63934) = 4086789148 / 2
LCM(63922,63934) = 2043394574
Least Common Multiple (LCM) of 63922 and 63934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63922 and 63934. First we will calculate the prime factors of 63922 and 63934.
Prime Factorization of 63922
Prime factors of 63922 are 2, 31, 1031. Prime factorization of 63922 in exponential form is:
63922 = 21 × 311 × 10311
Prime Factorization of 63934
Prime factors of 63934 are 2, 13, 2459. Prime factorization of 63934 in exponential form is:
63934 = 21 × 131 × 24591
Now multiplying the highest exponent prime factors to calculate the LCM of 63922 and 63934.
LCM(63922,63934) = 21 × 311 × 10311 × 131 × 24591
LCM(63922,63934) = 2043394574
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