What is the Least Common Multiple of 94171 and 94183?
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 94171 and 94183 is 8869307293.
LCM(94171,94183) = 8869307293
Least Common Multiple of 94171 and 94183 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94171 and 94183, than apply into the LCM equation.
GCF(94171,94183) = 1
LCM(94171,94183) = ( 94171 × 94183) / 1
LCM(94171,94183) = 8869307293 / 1
LCM(94171,94183) = 8869307293
Least Common Multiple (LCM) of 94171 and 94183 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94171 and 94183. First we will calculate the prime factors of 94171 and 94183.
Prime Factorization of 94171
Prime factors of 94171 are 7, 11, 1223. Prime factorization of 94171 in exponential form is:
94171 = 71 × 111 × 12231
Prime Factorization of 94183
Prime factors of 94183 are 19, 4957. Prime factorization of 94183 in exponential form is:
94183 = 191 × 49571
Now multiplying the highest exponent prime factors to calculate the LCM of 94171 and 94183.
LCM(94171,94183) = 71 × 111 × 12231 × 191 × 49571
LCM(94171,94183) = 8869307293
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