What is the Least Common Multiple of 9418 and 9422?
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 9422 is 44368198.
LCM(9418,9422) = 44368198
Least Common Multiple of 9418 and 9422 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 9422, than apply into the LCM equation.
GCF(9418,9422) = 2
LCM(9418,9422) = ( 9418 × 9422) / 2
LCM(9418,9422) = 88736396 / 2
LCM(9418,9422) = 44368198
Least Common Multiple (LCM) of 9418 and 9422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9418 and 9422. First we will calculate the prime factors of 9418 and 9422.
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 9422
Prime factors of 9422 are 2, 7, 673. Prime factorization of 9422 in exponential form is:
9422 = 21 × 71 × 6731
Now multiplying the highest exponent prime factors to calculate the LCM of 9418 and 9422.
LCM(9418,9422) = 21 × 171 × 2771 × 71 × 6731
LCM(9418,9422) = 44368198
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