What is the Least Common Multiple of 9115 and 9127?
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 9115 and 9127 is 83192605.
LCM(9115,9127) = 83192605
Least Common Multiple of 9115 and 9127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9115 and 9127, than apply into the LCM equation.
GCF(9115,9127) = 1
LCM(9115,9127) = ( 9115 × 9127) / 1
LCM(9115,9127) = 83192605 / 1
LCM(9115,9127) = 83192605
Least Common Multiple (LCM) of 9115 and 9127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9115 and 9127. First we will calculate the prime factors of 9115 and 9127.
Prime Factorization of 9115
Prime factors of 9115 are 5, 1823. Prime factorization of 9115 in exponential form is:
9115 = 51 × 18231
Prime Factorization of 9127
Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:
9127 = 91271
Now multiplying the highest exponent prime factors to calculate the LCM of 9115 and 9127.
LCM(9115,9127) = 51 × 18231 × 91271
LCM(9115,9127) = 83192605
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