What is the Least Common Multiple of 95333 and 95343?
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 95333 and 95343 is 9089334219.
LCM(95333,95343) = 9089334219
Least Common Multiple of 95333 and 95343 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95333 and 95343, than apply into the LCM equation.
GCF(95333,95343) = 1
LCM(95333,95343) = ( 95333 × 95343) / 1
LCM(95333,95343) = 9089334219 / 1
LCM(95333,95343) = 9089334219
Least Common Multiple (LCM) of 95333 and 95343 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95333 and 95343. First we will calculate the prime factors of 95333 and 95343.
Prime Factorization of 95333
Prime factors of 95333 are 7, 13619. Prime factorization of 95333 in exponential form is:
95333 = 71 × 136191
Prime Factorization of 95343
Prime factors of 95343 are 3, 61, 521. Prime factorization of 95343 in exponential form is:
95343 = 31 × 611 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 95333 and 95343.
LCM(95333,95343) = 71 × 136191 × 31 × 611 × 5211
LCM(95333,95343) = 9089334219
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