What is the Least Common Multiple of 94422 and 94442?
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 94422 and 94442 is 4458701262.
LCM(94422,94442) = 4458701262
Least Common Multiple of 94422 and 94442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94422 and 94442, than apply into the LCM equation.
GCF(94422,94442) = 2
LCM(94422,94442) = ( 94422 × 94442) / 2
LCM(94422,94442) = 8917402524 / 2
LCM(94422,94442) = 4458701262
Least Common Multiple (LCM) of 94422 and 94442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94422 and 94442. First we will calculate the prime factors of 94422 and 94442.
Prime Factorization of 94422
Prime factors of 94422 are 2, 3, 15737. Prime factorization of 94422 in exponential form is:
94422 = 21 × 31 × 157371
Prime Factorization of 94442
Prime factors of 94442 are 2, 47221. Prime factorization of 94442 in exponential form is:
94442 = 21 × 472211
Now multiplying the highest exponent prime factors to calculate the LCM of 94422 and 94442.
LCM(94422,94442) = 21 × 31 × 157371 × 472211
LCM(94422,94442) = 4458701262
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