What is the Least Common Multiple of 95848 and 95867?
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 95848 and 95867 is 9188660216.
LCM(95848,95867) = 9188660216
Least Common Multiple of 95848 and 95867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95848 and 95867, than apply into the LCM equation.
GCF(95848,95867) = 1
LCM(95848,95867) = ( 95848 × 95867) / 1
LCM(95848,95867) = 9188660216 / 1
LCM(95848,95867) = 9188660216
Least Common Multiple (LCM) of 95848 and 95867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95848 and 95867. First we will calculate the prime factors of 95848 and 95867.
Prime Factorization of 95848
Prime factors of 95848 are 2, 11981. Prime factorization of 95848 in exponential form is:
95848 = 23 × 119811
Prime Factorization of 95867
Prime factors of 95867 are 37, 2591. Prime factorization of 95867 in exponential form is:
95867 = 371 × 25911
Now multiplying the highest exponent prime factors to calculate the LCM of 95848 and 95867.
LCM(95848,95867) = 23 × 119811 × 371 × 25911
LCM(95848,95867) = 9188660216
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