What is the Least Common Multiple of 94472 and 94482?
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 94472 and 94482 is 4462951752.
LCM(94472,94482) = 4462951752
Least Common Multiple of 94472 and 94482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94472 and 94482, than apply into the LCM equation.
GCF(94472,94482) = 2
LCM(94472,94482) = ( 94472 × 94482) / 2
LCM(94472,94482) = 8925903504 / 2
LCM(94472,94482) = 4462951752
Least Common Multiple (LCM) of 94472 and 94482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94472 and 94482. First we will calculate the prime factors of 94472 and 94482.
Prime Factorization of 94472
Prime factors of 94472 are 2, 7, 241. Prime factorization of 94472 in exponential form is:
94472 = 23 × 72 × 2411
Prime Factorization of 94482
Prime factors of 94482 are 2, 3, 29, 181. Prime factorization of 94482 in exponential form is:
94482 = 21 × 32 × 291 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 94472 and 94482.
LCM(94472,94482) = 23 × 72 × 2411 × 32 × 291 × 1811
LCM(94472,94482) = 4462951752
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