What is the Least Common Multiple of 7887 and 7901?
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 7887 and 7901 is 62315187.
LCM(7887,7901) = 62315187
Least Common Multiple of 7887 and 7901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7887 and 7901, than apply into the LCM equation.
GCF(7887,7901) = 1
LCM(7887,7901) = ( 7887 × 7901) / 1
LCM(7887,7901) = 62315187 / 1
LCM(7887,7901) = 62315187
Least Common Multiple (LCM) of 7887 and 7901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7887 and 7901. First we will calculate the prime factors of 7887 and 7901.
Prime Factorization of 7887
Prime factors of 7887 are 3, 11, 239. Prime factorization of 7887 in exponential form is:
7887 = 31 × 111 × 2391
Prime Factorization of 7901
Prime factors of 7901 are 7901. Prime factorization of 7901 in exponential form is:
7901 = 79011
Now multiplying the highest exponent prime factors to calculate the LCM of 7887 and 7901.
LCM(7887,7901) = 31 × 111 × 2391 × 79011
LCM(7887,7901) = 62315187
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