What is the Least Common Multiple of 92273 and 92287?
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 92273 and 92287 is 8515598351.
LCM(92273,92287) = 8515598351
Least Common Multiple of 92273 and 92287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92273 and 92287, than apply into the LCM equation.
GCF(92273,92287) = 1
LCM(92273,92287) = ( 92273 × 92287) / 1
LCM(92273,92287) = 8515598351 / 1
LCM(92273,92287) = 8515598351
Least Common Multiple (LCM) of 92273 and 92287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92273 and 92287. First we will calculate the prime factors of 92273 and 92287.
Prime Factorization of 92273
Prime factors of 92273 are 53, 1741. Prime factorization of 92273 in exponential form is:
92273 = 531 × 17411
Prime Factorization of 92287
Prime factors of 92287 are 13, 31, 229. Prime factorization of 92287 in exponential form is:
92287 = 131 × 311 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 92273 and 92287.
LCM(92273,92287) = 531 × 17411 × 131 × 311 × 2291
LCM(92273,92287) = 8515598351
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