What is the Least Common Multiple of 94263 and 94282?
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 94263 and 94282 is 8887304166.
LCM(94263,94282) = 8887304166
Least Common Multiple of 94263 and 94282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94263 and 94282, than apply into the LCM equation.
GCF(94263,94282) = 1
LCM(94263,94282) = ( 94263 × 94282) / 1
LCM(94263,94282) = 8887304166 / 1
LCM(94263,94282) = 8887304166
Least Common Multiple (LCM) of 94263 and 94282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94263 and 94282. First we will calculate the prime factors of 94263 and 94282.
Prime Factorization of 94263
Prime factors of 94263 are 3, 13, 2417. Prime factorization of 94263 in exponential form is:
94263 = 31 × 131 × 24171
Prime Factorization of 94282
Prime factors of 94282 are 2, 17, 47, 59. Prime factorization of 94282 in exponential form is:
94282 = 21 × 171 × 471 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 94263 and 94282.
LCM(94263,94282) = 31 × 131 × 24171 × 21 × 171 × 471 × 591
LCM(94263,94282) = 8887304166
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