What is the Least Common Multiple of 95924 and 95929?
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 95924 and 95929 is 9201893396.
LCM(95924,95929) = 9201893396
Least Common Multiple of 95924 and 95929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95924 and 95929, than apply into the LCM equation.
GCF(95924,95929) = 1
LCM(95924,95929) = ( 95924 × 95929) / 1
LCM(95924,95929) = 9201893396 / 1
LCM(95924,95929) = 9201893396
Least Common Multiple (LCM) of 95924 and 95929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95924 and 95929. First we will calculate the prime factors of 95924 and 95929.
Prime Factorization of 95924
Prime factors of 95924 are 2, 23981. Prime factorization of 95924 in exponential form is:
95924 = 22 × 239811
Prime Factorization of 95929
Prime factors of 95929 are 95929. Prime factorization of 95929 in exponential form is:
95929 = 959291
Now multiplying the highest exponent prime factors to calculate the LCM of 95924 and 95929.
LCM(95924,95929) = 22 × 239811 × 959291
LCM(95924,95929) = 9201893396
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