What is the Least Common Multiple of 92359 and 92367?
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 92367 is 8530923753.
LCM(92359,92367) = 8530923753
Least Common Multiple of 92359 and 92367 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 92367, than apply into the LCM equation.
GCF(92359,92367) = 1
LCM(92359,92367) = ( 92359 × 92367) / 1
LCM(92359,92367) = 8530923753 / 1
LCM(92359,92367) = 8530923753
Least Common Multiple (LCM) of 92359 and 92367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92359 and 92367. First we will calculate the prime factors of 92359 and 92367.
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 92367
Prime factors of 92367 are 3, 11, 311. Prime factorization of 92367 in exponential form is:
92367 = 33 × 111 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 92359 and 92367.
LCM(92359,92367) = 191 × 48611 × 33 × 111 × 3111
LCM(92359,92367) = 8530923753
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