What is the Least Common Multiple of 92273 and 92282?
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 92282 is 8515136986.
LCM(92273,92282) = 8515136986
Least Common Multiple of 92273 and 92282 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 92282, than apply into the LCM equation.
GCF(92273,92282) = 1
LCM(92273,92282) = ( 92273 × 92282) / 1
LCM(92273,92282) = 8515136986 / 1
LCM(92273,92282) = 8515136986
Least Common Multiple (LCM) of 92273 and 92282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92273 and 92282. First we will calculate the prime factors of 92273 and 92282.
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 92282
Prime factors of 92282 are 2, 46141. Prime factorization of 92282 in exponential form is:
92282 = 21 × 461411
Now multiplying the highest exponent prime factors to calculate the LCM of 92273 and 92282.
LCM(92273,92282) = 531 × 17411 × 21 × 461411
LCM(92273,92282) = 8515136986
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