What is the Least Common Multiple of 95827 and 95831?
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 95827 and 95831 is 9183197237.
LCM(95827,95831) = 9183197237
Least Common Multiple of 95827 and 95831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95827 and 95831, than apply into the LCM equation.
GCF(95827,95831) = 1
LCM(95827,95831) = ( 95827 × 95831) / 1
LCM(95827,95831) = 9183197237 / 1
LCM(95827,95831) = 9183197237
Least Common Multiple (LCM) of 95827 and 95831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95827 and 95831. First we will calculate the prime factors of 95827 and 95831.
Prime Factorization of 95827
Prime factors of 95827 are 79, 1213. Prime factorization of 95827 in exponential form is:
95827 = 791 × 12131
Prime Factorization of 95831
Prime factors of 95831 are 61, 1571. Prime factorization of 95831 in exponential form is:
95831 = 611 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 95827 and 95831.
LCM(95827,95831) = 791 × 12131 × 611 × 15711
LCM(95827,95831) = 9183197237
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