What is the Least Common Multiple of 41043 and 41062?
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 41043 and 41062 is 1685307666.
LCM(41043,41062) = 1685307666
Least Common Multiple of 41043 and 41062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41043 and 41062, than apply into the LCM equation.
GCF(41043,41062) = 1
LCM(41043,41062) = ( 41043 × 41062) / 1
LCM(41043,41062) = 1685307666 / 1
LCM(41043,41062) = 1685307666
Least Common Multiple (LCM) of 41043 and 41062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41043 and 41062. First we will calculate the prime factors of 41043 and 41062.
Prime Factorization of 41043
Prime factors of 41043 are 3, 13681. Prime factorization of 41043 in exponential form is:
41043 = 31 × 136811
Prime Factorization of 41062
Prime factors of 41062 are 2, 7, 419. Prime factorization of 41062 in exponential form is:
41062 = 21 × 72 × 4191
Now multiplying the highest exponent prime factors to calculate the LCM of 41043 and 41062.
LCM(41043,41062) = 31 × 136811 × 21 × 72 × 4191
LCM(41043,41062) = 1685307666
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