What is the Least Common Multiple of 92857 and 92877?
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 92857 and 92877 is 8624279589.
LCM(92857,92877) = 8624279589
Least Common Multiple of 92857 and 92877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92857 and 92877, than apply into the LCM equation.
GCF(92857,92877) = 1
LCM(92857,92877) = ( 92857 × 92877) / 1
LCM(92857,92877) = 8624279589 / 1
LCM(92857,92877) = 8624279589
Least Common Multiple (LCM) of 92857 and 92877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92857 and 92877. First we will calculate the prime factors of 92857 and 92877.
Prime Factorization of 92857
Prime factors of 92857 are 92857. Prime factorization of 92857 in exponential form is:
92857 = 928571
Prime Factorization of 92877
Prime factors of 92877 are 3, 83, 373. Prime factorization of 92877 in exponential form is:
92877 = 31 × 831 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 92857 and 92877.
LCM(92857,92877) = 928571 × 31 × 831 × 3731
LCM(92857,92877) = 8624279589
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