What is the Least Common Multiple of 93117 and 93126?
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 93117 and 93126 is 2890537914.
LCM(93117,93126) = 2890537914
Least Common Multiple of 93117 and 93126 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93117 and 93126, than apply into the LCM equation.
GCF(93117,93126) = 3
LCM(93117,93126) = ( 93117 × 93126) / 3
LCM(93117,93126) = 8671613742 / 3
LCM(93117,93126) = 2890537914
Least Common Multiple (LCM) of 93117 and 93126 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93117 and 93126. First we will calculate the prime factors of 93117 and 93126.
Prime Factorization of 93117
Prime factors of 93117 are 3, 31039. Prime factorization of 93117 in exponential form is:
93117 = 31 × 310391
Prime Factorization of 93126
Prime factors of 93126 are 2, 3, 11, 17, 83. Prime factorization of 93126 in exponential form is:
93126 = 21 × 31 × 111 × 171 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 93117 and 93126.
LCM(93117,93126) = 31 × 310391 × 21 × 111 × 171 × 831
LCM(93117,93126) = 2890537914
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