What is the Least Common Multiple of 41819 and 41835?
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 41819 and 41835 is 1749497865.
LCM(41819,41835) = 1749497865
Least Common Multiple of 41819 and 41835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41819 and 41835, than apply into the LCM equation.
GCF(41819,41835) = 1
LCM(41819,41835) = ( 41819 × 41835) / 1
LCM(41819,41835) = 1749497865 / 1
LCM(41819,41835) = 1749497865
Least Common Multiple (LCM) of 41819 and 41835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41819 and 41835. First we will calculate the prime factors of 41819 and 41835.
Prime Factorization of 41819
Prime factors of 41819 are 19, 31, 71. Prime factorization of 41819 in exponential form is:
41819 = 191 × 311 × 711
Prime Factorization of 41835
Prime factors of 41835 are 3, 5, 2789. Prime factorization of 41835 in exponential form is:
41835 = 31 × 51 × 27891
Now multiplying the highest exponent prime factors to calculate the LCM of 41819 and 41835.
LCM(41819,41835) = 191 × 311 × 711 × 31 × 51 × 27891
LCM(41819,41835) = 1749497865
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