What is the Least Common Multiple of 9367 and 9385?
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 9367 and 9385 is 87909295.
LCM(9367,9385) = 87909295
Least Common Multiple of 9367 and 9385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9367 and 9385, than apply into the LCM equation.
GCF(9367,9385) = 1
LCM(9367,9385) = ( 9367 × 9385) / 1
LCM(9367,9385) = 87909295 / 1
LCM(9367,9385) = 87909295
Least Common Multiple (LCM) of 9367 and 9385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9367 and 9385. First we will calculate the prime factors of 9367 and 9385.
Prime Factorization of 9367
Prime factors of 9367 are 17, 19, 29. Prime factorization of 9367 in exponential form is:
9367 = 171 × 191 × 291
Prime Factorization of 9385
Prime factors of 9385 are 5, 1877. Prime factorization of 9385 in exponential form is:
9385 = 51 × 18771
Now multiplying the highest exponent prime factors to calculate the LCM of 9367 and 9385.
LCM(9367,9385) = 171 × 191 × 291 × 51 × 18771
LCM(9367,9385) = 87909295
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