What is the Least Common Multiple of 9417 and 9427?
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 9417 and 9427 is 88774059.
LCM(9417,9427) = 88774059
Least Common Multiple of 9417 and 9427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9417 and 9427, than apply into the LCM equation.
GCF(9417,9427) = 1
LCM(9417,9427) = ( 9417 × 9427) / 1
LCM(9417,9427) = 88774059 / 1
LCM(9417,9427) = 88774059
Least Common Multiple (LCM) of 9417 and 9427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9417 and 9427. First we will calculate the prime factors of 9417 and 9427.
Prime Factorization of 9417
Prime factors of 9417 are 3, 43, 73. Prime factorization of 9417 in exponential form is:
9417 = 31 × 431 × 731
Prime Factorization of 9427
Prime factors of 9427 are 11, 857. Prime factorization of 9427 in exponential form is:
9427 = 111 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 9417 and 9427.
LCM(9417,9427) = 31 × 431 × 731 × 111 × 8571
LCM(9417,9427) = 88774059
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