What is the Least Common Multiple of 95826 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 95826 and 95831 is 9183101406.
LCM(95826,95831) = 9183101406
Least Common Multiple of 95826 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 95826 and 95831, than apply into the LCM equation.
GCF(95826,95831) = 1
LCM(95826,95831) = ( 95826 × 95831) / 1
LCM(95826,95831) = 9183101406 / 1
LCM(95826,95831) = 9183101406
Least Common Multiple (LCM) of 95826 and 95831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95826 and 95831. First we will calculate the prime factors of 95826 and 95831.
Prime Factorization of 95826
Prime factors of 95826 are 2, 3, 15971. Prime factorization of 95826 in exponential form is:
95826 = 21 × 31 × 159711
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 95826 and 95831.
LCM(95826,95831) = 21 × 31 × 159711 × 611 × 15711
LCM(95826,95831) = 9183101406
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