What is the Least Common Multiple of 94127 and 94135?
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 94135 is 8860645145.
LCM(94127,94135) = 8860645145
Least Common Multiple of 94127 and 94135 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 94135, than apply into the LCM equation.
GCF(94127,94135) = 1
LCM(94127,94135) = ( 94127 × 94135) / 1
LCM(94127,94135) = 8860645145 / 1
LCM(94127,94135) = 8860645145
Least Common Multiple (LCM) of 94127 and 94135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94127 and 94135. First we will calculate the prime factors of 94127 and 94135.
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 94135
Prime factors of 94135 are 5, 67, 281. Prime factorization of 94135 in exponential form is:
94135 = 51 × 671 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 94127 and 94135.
LCM(94127,94135) = 111 × 431 × 1991 × 51 × 671 × 2811
LCM(94127,94135) = 8860645145
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