What is the Least Common Multiple of 9417 and 9425?
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 9425 is 88755225.
LCM(9417,9425) = 88755225
Least Common Multiple of 9417 and 9425 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 9425, than apply into the LCM equation.
GCF(9417,9425) = 1
LCM(9417,9425) = ( 9417 × 9425) / 1
LCM(9417,9425) = 88755225 / 1
LCM(9417,9425) = 88755225
Least Common Multiple (LCM) of 9417 and 9425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9417 and 9425. First we will calculate the prime factors of 9417 and 9425.
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 9425
Prime factors of 9425 are 5, 13, 29. Prime factorization of 9425 in exponential form is:
9425 = 52 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 9417 and 9425.
LCM(9417,9425) = 31 × 431 × 731 × 52 × 131 × 291
LCM(9417,9425) = 88755225
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