What is the Least Common Multiple of 95855 and 95859?
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 95855 and 95859 is 9188564445.
LCM(95855,95859) = 9188564445
Least Common Multiple of 95855 and 95859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95855 and 95859, than apply into the LCM equation.
GCF(95855,95859) = 1
LCM(95855,95859) = ( 95855 × 95859) / 1
LCM(95855,95859) = 9188564445 / 1
LCM(95855,95859) = 9188564445
Least Common Multiple (LCM) of 95855 and 95859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95855 and 95859. First we will calculate the prime factors of 95855 and 95859.
Prime Factorization of 95855
Prime factors of 95855 are 5, 19, 1009. Prime factorization of 95855 in exponential form is:
95855 = 51 × 191 × 10091
Prime Factorization of 95859
Prime factors of 95859 are 3, 10651. Prime factorization of 95859 in exponential form is:
95859 = 32 × 106511
Now multiplying the highest exponent prime factors to calculate the LCM of 95855 and 95859.
LCM(95855,95859) = 51 × 191 × 10091 × 32 × 106511
LCM(95855,95859) = 9188564445
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