What is the Least Common Multiple of 92877 and 92897?
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 92877 and 92897 is 8627994669.
LCM(92877,92897) = 8627994669
Least Common Multiple of 92877 and 92897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92877 and 92897, than apply into the LCM equation.
GCF(92877,92897) = 1
LCM(92877,92897) = ( 92877 × 92897) / 1
LCM(92877,92897) = 8627994669 / 1
LCM(92877,92897) = 8627994669
Least Common Multiple (LCM) of 92877 and 92897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92877 and 92897. First we will calculate the prime factors of 92877 and 92897.
Prime Factorization of 92877
Prime factors of 92877 are 3, 83, 373. Prime factorization of 92877 in exponential form is:
92877 = 31 × 831 × 3731
Prime Factorization of 92897
Prime factors of 92897 are 7, 23, 577. Prime factorization of 92897 in exponential form is:
92897 = 71 × 231 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 92877 and 92897.
LCM(92877,92897) = 31 × 831 × 3731 × 71 × 231 × 5771
LCM(92877,92897) = 8627994669
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