What is the Least Common Multiple of 93084 and 93091?
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 93084 and 93091 is 8665282644.
LCM(93084,93091) = 8665282644
Least Common Multiple of 93084 and 93091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93084 and 93091, than apply into the LCM equation.
GCF(93084,93091) = 1
LCM(93084,93091) = ( 93084 × 93091) / 1
LCM(93084,93091) = 8665282644 / 1
LCM(93084,93091) = 8665282644
Least Common Multiple (LCM) of 93084 and 93091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93084 and 93091. First we will calculate the prime factors of 93084 and 93091.
Prime Factorization of 93084
Prime factors of 93084 are 2, 3, 7757. Prime factorization of 93084 in exponential form is:
93084 = 22 × 31 × 77571
Prime Factorization of 93091
Prime factors of 93091 are 127, 733. Prime factorization of 93091 in exponential form is:
93091 = 1271 × 7331
Now multiplying the highest exponent prime factors to calculate the LCM of 93084 and 93091.
LCM(93084,93091) = 22 × 31 × 77571 × 1271 × 7331
LCM(93084,93091) = 8665282644
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