What is the Least Common Multiple of 94322 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 94322 and 94342 is 4449263062.
LCM(94322,94342) = 4449263062
Least Common Multiple of 94322 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 94322 and 94342, than apply into the LCM equation.
GCF(94322,94342) = 2
LCM(94322,94342) = ( 94322 × 94342) / 2
LCM(94322,94342) = 8898526124 / 2
LCM(94322,94342) = 4449263062
Least Common Multiple (LCM) of 94322 and 94342 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94322 and 94342. First we will calculate the prime factors of 94322 and 94342.
Prime Factorization of 94322
Prime factors of 94322 are 2, 47161. Prime factorization of 94322 in exponential form is:
94322 = 21 × 471611
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 94322 and 94342.
LCM(94322,94342) = 21 × 471611 × 431 × 10971
LCM(94322,94342) = 4449263062
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