What is the Least Common Multiple of 92567 and 92573?
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 92567 and 92573 is 8569204891.
LCM(92567,92573) = 8569204891
Least Common Multiple of 92567 and 92573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92567 and 92573, than apply into the LCM equation.
GCF(92567,92573) = 1
LCM(92567,92573) = ( 92567 × 92573) / 1
LCM(92567,92573) = 8569204891 / 1
LCM(92567,92573) = 8569204891
Least Common Multiple (LCM) of 92567 and 92573 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92567 and 92573. First we will calculate the prime factors of 92567 and 92573.
Prime Factorization of 92567
Prime factors of 92567 are 92567. Prime factorization of 92567 in exponential form is:
92567 = 925671
Prime Factorization of 92573
Prime factors of 92573 are 13, 7121. Prime factorization of 92573 in exponential form is:
92573 = 131 × 71211
Now multiplying the highest exponent prime factors to calculate the LCM of 92567 and 92573.
LCM(92567,92573) = 925671 × 131 × 71211
LCM(92567,92573) = 8569204891
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