What is the Least Common Multiple of 92359 and 92377?
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 92359 and 92377 is 8531847343.
LCM(92359,92377) = 8531847343
Least Common Multiple of 92359 and 92377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92359 and 92377, than apply into the LCM equation.
GCF(92359,92377) = 1
LCM(92359,92377) = ( 92359 × 92377) / 1
LCM(92359,92377) = 8531847343 / 1
LCM(92359,92377) = 8531847343
Least Common Multiple (LCM) of 92359 and 92377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92359 and 92377. First we will calculate the prime factors of 92359 and 92377.
Prime Factorization of 92359
Prime factors of 92359 are 19, 4861. Prime factorization of 92359 in exponential form is:
92359 = 191 × 48611
Prime Factorization of 92377
Prime factors of 92377 are 92377. Prime factorization of 92377 in exponential form is:
92377 = 923771
Now multiplying the highest exponent prime factors to calculate the LCM of 92359 and 92377.
LCM(92359,92377) = 191 × 48611 × 923771
LCM(92359,92377) = 8531847343
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