What is the Least Common Multiple of 9397 and 9406?
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 9397 and 9406 is 88388182.
LCM(9397,9406) = 88388182
Least Common Multiple of 9397 and 9406 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9397 and 9406, than apply into the LCM equation.
GCF(9397,9406) = 1
LCM(9397,9406) = ( 9397 × 9406) / 1
LCM(9397,9406) = 88388182 / 1
LCM(9397,9406) = 88388182
Least Common Multiple (LCM) of 9397 and 9406 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9397 and 9406. First we will calculate the prime factors of 9397 and 9406.
Prime Factorization of 9397
Prime factors of 9397 are 9397. Prime factorization of 9397 in exponential form is:
9397 = 93971
Prime Factorization of 9406
Prime factors of 9406 are 2, 4703. Prime factorization of 9406 in exponential form is:
9406 = 21 × 47031
Now multiplying the highest exponent prime factors to calculate the LCM of 9397 and 9406.
LCM(9397,9406) = 93971 × 21 × 47031
LCM(9397,9406) = 88388182
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