What is the Least Common Multiple of 7841 and 7858?
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 7841 and 7858 is 61614578.
LCM(7841,7858) = 61614578
Least Common Multiple of 7841 and 7858 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7841 and 7858, than apply into the LCM equation.
GCF(7841,7858) = 1
LCM(7841,7858) = ( 7841 × 7858) / 1
LCM(7841,7858) = 61614578 / 1
LCM(7841,7858) = 61614578
Least Common Multiple (LCM) of 7841 and 7858 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7841 and 7858. First we will calculate the prime factors of 7841 and 7858.
Prime Factorization of 7841
Prime factors of 7841 are 7841. Prime factorization of 7841 in exponential form is:
7841 = 78411
Prime Factorization of 7858
Prime factors of 7858 are 2, 3929. Prime factorization of 7858 in exponential form is:
7858 = 21 × 39291
Now multiplying the highest exponent prime factors to calculate the LCM of 7841 and 7858.
LCM(7841,7858) = 78411 × 21 × 39291
LCM(7841,7858) = 61614578
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