What is the Least Common Multiple of 9119 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 9119 and 9127 is 83229113.
LCM(9119,9127) = 83229113
Least Common Multiple of 9119 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 9119 and 9127, than apply into the LCM equation.
GCF(9119,9127) = 1
LCM(9119,9127) = ( 9119 × 9127) / 1
LCM(9119,9127) = 83229113 / 1
LCM(9119,9127) = 83229113
Least Common Multiple (LCM) of 9119 and 9127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9119 and 9127. First we will calculate the prime factors of 9119 and 9127.
Prime Factorization of 9119
Prime factors of 9119 are 11, 829. Prime factorization of 9119 in exponential form is:
9119 = 111 × 8291
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 9119 and 9127.
LCM(9119,9127) = 111 × 8291 × 91271
LCM(9119,9127) = 83229113
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