What is the Least Common Multiple of 9369 and 9383?
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 9369 and 9383 is 87909327.
LCM(9369,9383) = 87909327
Least Common Multiple of 9369 and 9383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9369 and 9383, than apply into the LCM equation.
GCF(9369,9383) = 1
LCM(9369,9383) = ( 9369 × 9383) / 1
LCM(9369,9383) = 87909327 / 1
LCM(9369,9383) = 87909327
Least Common Multiple (LCM) of 9369 and 9383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9369 and 9383. First we will calculate the prime factors of 9369 and 9383.
Prime Factorization of 9369
Prime factors of 9369 are 3, 347. Prime factorization of 9369 in exponential form is:
9369 = 33 × 3471
Prime Factorization of 9383
Prime factors of 9383 are 11, 853. Prime factorization of 9383 in exponential form is:
9383 = 111 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 9369 and 9383.
LCM(9369,9383) = 33 × 3471 × 111 × 8531
LCM(9369,9383) = 87909327
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