What is the Least Common Multiple of 41028 and 41046?
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 41028 and 41046 is 280672548.
LCM(41028,41046) = 280672548
Least Common Multiple of 41028 and 41046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41028 and 41046, than apply into the LCM equation.
GCF(41028,41046) = 6
LCM(41028,41046) = ( 41028 × 41046) / 6
LCM(41028,41046) = 1684035288 / 6
LCM(41028,41046) = 280672548
Least Common Multiple (LCM) of 41028 and 41046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41028 and 41046. First we will calculate the prime factors of 41028 and 41046.
Prime Factorization of 41028
Prime factors of 41028 are 2, 3, 13, 263. Prime factorization of 41028 in exponential form is:
41028 = 22 × 31 × 131 × 2631
Prime Factorization of 41046
Prime factors of 41046 are 2, 3, 6841. Prime factorization of 41046 in exponential form is:
41046 = 21 × 31 × 68411
Now multiplying the highest exponent prime factors to calculate the LCM of 41028 and 41046.
LCM(41028,41046) = 22 × 31 × 131 × 2631 × 68411
LCM(41028,41046) = 280672548
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