What is the Least Common Multiple of 95335 and 95351?
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 95335 and 95351 is 9090287585.
LCM(95335,95351) = 9090287585
Least Common Multiple of 95335 and 95351 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95335 and 95351, than apply into the LCM equation.
GCF(95335,95351) = 1
LCM(95335,95351) = ( 95335 × 95351) / 1
LCM(95335,95351) = 9090287585 / 1
LCM(95335,95351) = 9090287585
Least Common Multiple (LCM) of 95335 and 95351 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95335 and 95351. First we will calculate the prime factors of 95335 and 95351.
Prime Factorization of 95335
Prime factors of 95335 are 5, 23, 829. Prime factorization of 95335 in exponential form is:
95335 = 51 × 231 × 8291
Prime Factorization of 95351
Prime factors of 95351 are 97, 983. Prime factorization of 95351 in exponential form is:
95351 = 971 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 95335 and 95351.
LCM(95335,95351) = 51 × 231 × 8291 × 971 × 9831
LCM(95335,95351) = 9090287585
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