What is the Least Common Multiple of 94127 and 94141?
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 94127 and 94141 is 8861209907.
LCM(94127,94141) = 8861209907
Least Common Multiple of 94127 and 94141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94127 and 94141, than apply into the LCM equation.
GCF(94127,94141) = 1
LCM(94127,94141) = ( 94127 × 94141) / 1
LCM(94127,94141) = 8861209907 / 1
LCM(94127,94141) = 8861209907
Least Common Multiple (LCM) of 94127 and 94141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94127 and 94141. First we will calculate the prime factors of 94127 and 94141.
Prime Factorization of 94127
Prime factors of 94127 are 11, 43, 199. Prime factorization of 94127 in exponential form is:
94127 = 111 × 431 × 1991
Prime Factorization of 94141
Prime factors of 94141 are 47, 2003. Prime factorization of 94141 in exponential form is:
94141 = 471 × 20031
Now multiplying the highest exponent prime factors to calculate the LCM of 94127 and 94141.
LCM(94127,94141) = 111 × 431 × 1991 × 471 × 20031
LCM(94127,94141) = 8861209907
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