What is the Least Common Multiple of 93116 and 93135?
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 93116 and 93135 is 8672358660.
LCM(93116,93135) = 8672358660
Least Common Multiple of 93116 and 93135 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93116 and 93135, than apply into the LCM equation.
GCF(93116,93135) = 1
LCM(93116,93135) = ( 93116 × 93135) / 1
LCM(93116,93135) = 8672358660 / 1
LCM(93116,93135) = 8672358660
Least Common Multiple (LCM) of 93116 and 93135 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93116 and 93135. First we will calculate the prime factors of 93116 and 93135.
Prime Factorization of 93116
Prime factors of 93116 are 2, 23279. Prime factorization of 93116 in exponential form is:
93116 = 22 × 232791
Prime Factorization of 93135
Prime factors of 93135 are 3, 5, 7, 887. Prime factorization of 93135 in exponential form is:
93135 = 31 × 51 × 71 × 8871
Now multiplying the highest exponent prime factors to calculate the LCM of 93116 and 93135.
LCM(93116,93135) = 22 × 232791 × 31 × 51 × 71 × 8871
LCM(93116,93135) = 8672358660
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