What is the Least Common Multiple of 7825 and 7831?
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 7825 and 7831 is 61277575.
LCM(7825,7831) = 61277575
Least Common Multiple of 7825 and 7831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7825 and 7831, than apply into the LCM equation.
GCF(7825,7831) = 1
LCM(7825,7831) = ( 7825 × 7831) / 1
LCM(7825,7831) = 61277575 / 1
LCM(7825,7831) = 61277575
Least Common Multiple (LCM) of 7825 and 7831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7825 and 7831. First we will calculate the prime factors of 7825 and 7831.
Prime Factorization of 7825
Prime factors of 7825 are 5, 313. Prime factorization of 7825 in exponential form is:
7825 = 52 × 3131
Prime Factorization of 7831
Prime factors of 7831 are 41, 191. Prime factorization of 7831 in exponential form is:
7831 = 411 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 7825 and 7831.
LCM(7825,7831) = 52 × 3131 × 411 × 1911
LCM(7825,7831) = 61277575
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