What is the Least Common Multiple of 94231 and 94250?
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 94250 is 8881271750.
LCM(94231,94250) = 8881271750
Least Common Multiple of 94231 and 94250 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 94250, than apply into the LCM equation.
GCF(94231,94250) = 1
LCM(94231,94250) = ( 94231 × 94250) / 1
LCM(94231,94250) = 8881271750 / 1
LCM(94231,94250) = 8881271750
Least Common Multiple (LCM) of 94231 and 94250 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94231 and 94250. First we will calculate the prime factors of 94231 and 94250.
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 94250
Prime factors of 94250 are 2, 5, 13, 29. Prime factorization of 94250 in exponential form is:
94250 = 21 × 53 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 94231 and 94250.
LCM(94231,94250) = 171 × 231 × 2411 × 21 × 53 × 131 × 291
LCM(94231,94250) = 8881271750
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