What is the Least Common Multiple of 94253 and 94258?
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 94253 and 94258 is 8884099274.
LCM(94253,94258) = 8884099274
Least Common Multiple of 94253 and 94258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94253 and 94258, than apply into the LCM equation.
GCF(94253,94258) = 1
LCM(94253,94258) = ( 94253 × 94258) / 1
LCM(94253,94258) = 8884099274 / 1
LCM(94253,94258) = 8884099274
Least Common Multiple (LCM) of 94253 and 94258 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94253 and 94258. First we will calculate the prime factors of 94253 and 94258.
Prime Factorization of 94253
Prime factors of 94253 are 94253. Prime factorization of 94253 in exponential form is:
94253 = 942531
Prime Factorization of 94258
Prime factors of 94258 are 2, 47129. Prime factorization of 94258 in exponential form is:
94258 = 21 × 471291
Now multiplying the highest exponent prime factors to calculate the LCM of 94253 and 94258.
LCM(94253,94258) = 942531 × 21 × 471291
LCM(94253,94258) = 8884099274
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