What is the Least Common Multiple of 41929 and 41934?
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 41929 and 41934 is 1758250686.
LCM(41929,41934) = 1758250686
Least Common Multiple of 41929 and 41934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41929 and 41934, than apply into the LCM equation.
GCF(41929,41934) = 1
LCM(41929,41934) = ( 41929 × 41934) / 1
LCM(41929,41934) = 1758250686 / 1
LCM(41929,41934) = 1758250686
Least Common Multiple (LCM) of 41929 and 41934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41929 and 41934. First we will calculate the prime factors of 41929 and 41934.
Prime Factorization of 41929
Prime factors of 41929 are 23, 1823. Prime factorization of 41929 in exponential form is:
41929 = 231 × 18231
Prime Factorization of 41934
Prime factors of 41934 are 2, 3, 29, 241. Prime factorization of 41934 in exponential form is:
41934 = 21 × 31 × 291 × 2411
Now multiplying the highest exponent prime factors to calculate the LCM of 41929 and 41934.
LCM(41929,41934) = 231 × 18231 × 21 × 31 × 291 × 2411
LCM(41929,41934) = 1758250686
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