What is the Least Common Multiple of 94213 and 94231?
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 94213 and 94231 is 8877785203.
LCM(94213,94231) = 8877785203
Least Common Multiple of 94213 and 94231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94213 and 94231, than apply into the LCM equation.
GCF(94213,94231) = 1
LCM(94213,94231) = ( 94213 × 94231) / 1
LCM(94213,94231) = 8877785203 / 1
LCM(94213,94231) = 8877785203
Least Common Multiple (LCM) of 94213 and 94231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94213 and 94231. First we will calculate the prime factors of 94213 and 94231.
Prime Factorization of 94213
Prime factors of 94213 are 7, 43, 313. Prime factorization of 94213 in exponential form is:
94213 = 71 × 431 × 3131
Prime Factorization of 94231
Prime factors of 94231 are 17, 23, 241. Prime factorization of 94231 in exponential form is:
94231 = 171 × 231 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 94213 and 94231.
LCM(94213,94231) = 71 × 431 × 3131 × 171 × 231 × 2411
LCM(94213,94231) = 8877785203
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