What is the Least Common Multiple of 9328 and 9341?
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 9328 and 9341 is 87132848.
LCM(9328,9341) = 87132848
Least Common Multiple of 9328 and 9341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9328 and 9341, than apply into the LCM equation.
GCF(9328,9341) = 1
LCM(9328,9341) = ( 9328 × 9341) / 1
LCM(9328,9341) = 87132848 / 1
LCM(9328,9341) = 87132848
Least Common Multiple (LCM) of 9328 and 9341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9328 and 9341. First we will calculate the prime factors of 9328 and 9341.
Prime Factorization of 9328
Prime factors of 9328 are 2, 11, 53. Prime factorization of 9328 in exponential form is:
9328 = 24 × 111 × 531
Prime Factorization of 9341
Prime factors of 9341 are 9341. Prime factorization of 9341 in exponential form is:
9341 = 93411
Now multiplying the highest exponent prime factors to calculate the LCM of 9328 and 9341.
LCM(9328,9341) = 24 × 111 × 531 × 93411
LCM(9328,9341) = 87132848
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