What is the Least Common Multiple of 9383 and 9387?
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 9383 and 9387 is 88078221.
LCM(9383,9387) = 88078221
Least Common Multiple of 9383 and 9387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9383 and 9387, than apply into the LCM equation.
GCF(9383,9387) = 1
LCM(9383,9387) = ( 9383 × 9387) / 1
LCM(9383,9387) = 88078221 / 1
LCM(9383,9387) = 88078221
Least Common Multiple (LCM) of 9383 and 9387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9383 and 9387. First we will calculate the prime factors of 9383 and 9387.
Prime Factorization of 9383
Prime factors of 9383 are 11, 853. Prime factorization of 9383 in exponential form is:
9383 = 111 × 8531
Prime Factorization of 9387
Prime factors of 9387 are 3, 7, 149. Prime factorization of 9387 in exponential form is:
9387 = 32 × 71 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 9383 and 9387.
LCM(9383,9387) = 111 × 8531 × 32 × 71 × 1491
LCM(9383,9387) = 88078221
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