What is the Least Common Multiple of 63922 and 63939?
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 63939 is 4087108758.
LCM(63922,63939) = 4087108758
Least Common Multiple of 63922 and 63939 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 63939, than apply into the LCM equation.
GCF(63922,63939) = 1
LCM(63922,63939) = ( 63922 × 63939) / 1
LCM(63922,63939) = 4087108758 / 1
LCM(63922,63939) = 4087108758
Least Common Multiple (LCM) of 63922 and 63939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63922 and 63939. First we will calculate the prime factors of 63922 and 63939.
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 63939
Prime factors of 63939 are 3, 21313. Prime factorization of 63939 in exponential form is:
63939 = 31 × 213131
Now multiplying the highest exponent prime factors to calculate the LCM of 63922 and 63939.
LCM(63922,63939) = 21 × 311 × 10311 × 31 × 213131
LCM(63922,63939) = 4087108758
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