What is the Least Common Multiple of 93177 and 93187?
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 93177 and 93187 is 8682885099.
LCM(93177,93187) = 8682885099
Least Common Multiple of 93177 and 93187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93177 and 93187, than apply into the LCM equation.
GCF(93177,93187) = 1
LCM(93177,93187) = ( 93177 × 93187) / 1
LCM(93177,93187) = 8682885099 / 1
LCM(93177,93187) = 8682885099
Least Common Multiple (LCM) of 93177 and 93187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93177 and 93187. First we will calculate the prime factors of 93177 and 93187.
Prime Factorization of 93177
Prime factors of 93177 are 3, 7, 17, 29. Prime factorization of 93177 in exponential form is:
93177 = 33 × 71 × 171 × 291
Prime Factorization of 93187
Prime factors of 93187 are 93187. Prime factorization of 93187 in exponential form is:
93187 = 931871
Now multiplying the highest exponent prime factors to calculate the LCM of 93177 and 93187.
LCM(93177,93187) = 33 × 71 × 171 × 291 × 931871
LCM(93177,93187) = 8682885099
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