What is the Least Common Multiple of 9418 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 9418 and 9425 is 88764650.
LCM(9418,9425) = 88764650
Least Common Multiple of 9418 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 9418 and 9425, than apply into the LCM equation.
GCF(9418,9425) = 1
LCM(9418,9425) = ( 9418 × 9425) / 1
LCM(9418,9425) = 88764650 / 1
LCM(9418,9425) = 88764650
Least Common Multiple (LCM) of 9418 and 9425 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9425. First we will calculate the prime factors of 9418 and 9425.
Prime Factorization of 9418
Prime factors of 9418 are 2, 17, 277. Prime factorization of 9418 in exponential form is:
9418 = 21 × 171 × 2771
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 9418 and 9425.
LCM(9418,9425) = 21 × 171 × 2771 × 52 × 131 × 291
LCM(9418,9425) = 88764650
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