What is the Least Common Multiple of 9373 and 9379?
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 9373 and 9379 is 87909367.
LCM(9373,9379) = 87909367
Least Common Multiple of 9373 and 9379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9373 and 9379, than apply into the LCM equation.
GCF(9373,9379) = 1
LCM(9373,9379) = ( 9373 × 9379) / 1
LCM(9373,9379) = 87909367 / 1
LCM(9373,9379) = 87909367
Least Common Multiple (LCM) of 9373 and 9379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9373 and 9379. First we will calculate the prime factors of 9373 and 9379.
Prime Factorization of 9373
Prime factors of 9373 are 7, 13, 103. Prime factorization of 9373 in exponential form is:
9373 = 71 × 131 × 1031
Prime Factorization of 9379
Prime factors of 9379 are 83, 113. Prime factorization of 9379 in exponential form is:
9379 = 831 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 9373 and 9379.
LCM(9373,9379) = 71 × 131 × 1031 × 831 × 1131
LCM(9373,9379) = 87909367
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