What is the Least Common Multiple of 9365 and 9377?
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 9365 and 9377 is 87815605.
LCM(9365,9377) = 87815605
Least Common Multiple of 9365 and 9377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9365 and 9377, than apply into the LCM equation.
GCF(9365,9377) = 1
LCM(9365,9377) = ( 9365 × 9377) / 1
LCM(9365,9377) = 87815605 / 1
LCM(9365,9377) = 87815605
Least Common Multiple (LCM) of 9365 and 9377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9365 and 9377. First we will calculate the prime factors of 9365 and 9377.
Prime Factorization of 9365
Prime factors of 9365 are 5, 1873. Prime factorization of 9365 in exponential form is:
9365 = 51 × 18731
Prime Factorization of 9377
Prime factors of 9377 are 9377. Prime factorization of 9377 in exponential form is:
9377 = 93771
Now multiplying the highest exponent prime factors to calculate the LCM of 9365 and 9377.
LCM(9365,9377) = 51 × 18731 × 93771
LCM(9365,9377) = 87815605
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