What is the Least Common Multiple of 9373 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 9373 and 9387 is 12569193.
LCM(9373,9387) = 12569193
Least Common Multiple of 9373 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 9373 and 9387, than apply into the LCM equation.
GCF(9373,9387) = 7
LCM(9373,9387) = ( 9373 × 9387) / 7
LCM(9373,9387) = 87984351 / 7
LCM(9373,9387) = 12569193
Least Common Multiple (LCM) of 9373 and 9387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9373 and 9387. First we will calculate the prime factors of 9373 and 9387.
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 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 9373 and 9387.
LCM(9373,9387) = 71 × 131 × 1031 × 32 × 1491
LCM(9373,9387) = 12569193
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