What is the Least Common Multiple of 94233 and 94241?
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 94233 and 94241 is 8880612153.
LCM(94233,94241) = 8880612153
Least Common Multiple of 94233 and 94241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94233 and 94241, than apply into the LCM equation.
GCF(94233,94241) = 1
LCM(94233,94241) = ( 94233 × 94241) / 1
LCM(94233,94241) = 8880612153 / 1
LCM(94233,94241) = 8880612153
Least Common Multiple (LCM) of 94233 and 94241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94233 and 94241. First we will calculate the prime factors of 94233 and 94241.
Prime Factorization of 94233
Prime factors of 94233 are 3, 101, 311. Prime factorization of 94233 in exponential form is:
94233 = 31 × 1011 × 3111
Prime Factorization of 94241
Prime factors of 94241 are 7, 13463. Prime factorization of 94241 in exponential form is:
94241 = 71 × 134631
Now multiplying the highest exponent prime factors to calculate the LCM of 94233 and 94241.
LCM(94233,94241) = 31 × 1011 × 3111 × 71 × 134631
LCM(94233,94241) = 8880612153
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