What is the Least Common Multiple of 95859 and 95863?
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 95859 and 95863 is 9189331317.
LCM(95859,95863) = 9189331317
Least Common Multiple of 95859 and 95863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95859 and 95863, than apply into the LCM equation.
GCF(95859,95863) = 1
LCM(95859,95863) = ( 95859 × 95863) / 1
LCM(95859,95863) = 9189331317 / 1
LCM(95859,95863) = 9189331317
Least Common Multiple (LCM) of 95859 and 95863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95859 and 95863. First we will calculate the prime factors of 95859 and 95863.
Prime Factorization of 95859
Prime factors of 95859 are 3, 10651. Prime factorization of 95859 in exponential form is:
95859 = 32 × 106511
Prime Factorization of 95863
Prime factors of 95863 are 17, 5639. Prime factorization of 95863 in exponential form is:
95863 = 171 × 56391
Now multiplying the highest exponent prime factors to calculate the LCM of 95859 and 95863.
LCM(95859,95863) = 32 × 106511 × 171 × 56391
LCM(95859,95863) = 9189331317
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