What is the Least Common Multiple of 95826 and 95833?
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 95833 is 9183293058.
LCM(95826,95833) = 9183293058
Least Common Multiple of 95826 and 95833 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 95833, than apply into the LCM equation.
GCF(95826,95833) = 1
LCM(95826,95833) = ( 95826 × 95833) / 1
LCM(95826,95833) = 9183293058 / 1
LCM(95826,95833) = 9183293058
Least Common Multiple (LCM) of 95826 and 95833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95826 and 95833. First we will calculate the prime factors of 95826 and 95833.
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 95833
Prime factors of 95833 are 47, 2039. Prime factorization of 95833 in exponential form is:
95833 = 471 × 20391
Now multiplying the highest exponent prime factors to calculate the LCM of 95826 and 95833.
LCM(95826,95833) = 21 × 31 × 159711 × 471 × 20391
LCM(95826,95833) = 9183293058
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