What is the Least Common Multiple of 94337 and 94342?
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 94337 and 94342 is 8899941254.
LCM(94337,94342) = 8899941254
Least Common Multiple of 94337 and 94342 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94337 and 94342, than apply into the LCM equation.
GCF(94337,94342) = 1
LCM(94337,94342) = ( 94337 × 94342) / 1
LCM(94337,94342) = 8899941254 / 1
LCM(94337,94342) = 8899941254
Least Common Multiple (LCM) of 94337 and 94342 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94337 and 94342. First we will calculate the prime factors of 94337 and 94342.
Prime Factorization of 94337
Prime factors of 94337 are 29, 3253. Prime factorization of 94337 in exponential form is:
94337 = 291 × 32531
Prime Factorization of 94342
Prime factors of 94342 are 2, 43, 1097. Prime factorization of 94342 in exponential form is:
94342 = 21 × 431 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 94337 and 94342.
LCM(94337,94342) = 291 × 32531 × 21 × 431 × 10971
LCM(94337,94342) = 8899941254
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