What is the Least Common Multiple of 94231 and 94243?
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 94231 and 94243 is 8880612133.
LCM(94231,94243) = 8880612133
Least Common Multiple of 94231 and 94243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94231 and 94243, than apply into the LCM equation.
GCF(94231,94243) = 1
LCM(94231,94243) = ( 94231 × 94243) / 1
LCM(94231,94243) = 8880612133 / 1
LCM(94231,94243) = 8880612133
Least Common Multiple (LCM) of 94231 and 94243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94231 and 94243. First we will calculate the prime factors of 94231 and 94243.
Prime Factorization of 94231
Prime factors of 94231 are 17, 23, 241. Prime factorization of 94231 in exponential form is:
94231 = 171 × 231 × 2411
Prime Factorization of 94243
Prime factors of 94243 are 73, 1291. Prime factorization of 94243 in exponential form is:
94243 = 731 × 12911
Now multiplying the highest exponent prime factors to calculate the LCM of 94231 and 94243.
LCM(94231,94243) = 171 × 231 × 2411 × 731 × 12911
LCM(94231,94243) = 8880612133
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