What is the Least Common Multiple of 41074 and 41078?
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 41074 and 41078 is 843618886.
LCM(41074,41078) = 843618886
Least Common Multiple of 41074 and 41078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41074 and 41078, than apply into the LCM equation.
GCF(41074,41078) = 2
LCM(41074,41078) = ( 41074 × 41078) / 2
LCM(41074,41078) = 1687237772 / 2
LCM(41074,41078) = 843618886
Least Common Multiple (LCM) of 41074 and 41078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41074 and 41078. First we will calculate the prime factors of 41074 and 41078.
Prime Factorization of 41074
Prime factors of 41074 are 2, 11, 1867. Prime factorization of 41074 in exponential form is:
41074 = 21 × 111 × 18671
Prime Factorization of 41078
Prime factors of 41078 are 2, 19, 23, 47. Prime factorization of 41078 in exponential form is:
41078 = 21 × 191 × 231 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 41074 and 41078.
LCM(41074,41078) = 21 × 111 × 18671 × 191 × 231 × 471
LCM(41074,41078) = 843618886
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