What is the Least Common Multiple of 41799 and 41818?
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 41799 and 41818 is 1747950582.
LCM(41799,41818) = 1747950582
Least Common Multiple of 41799 and 41818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41799 and 41818, than apply into the LCM equation.
GCF(41799,41818) = 1
LCM(41799,41818) = ( 41799 × 41818) / 1
LCM(41799,41818) = 1747950582 / 1
LCM(41799,41818) = 1747950582
Least Common Multiple (LCM) of 41799 and 41818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41799 and 41818. First we will calculate the prime factors of 41799 and 41818.
Prime Factorization of 41799
Prime factors of 41799 are 3, 13933. Prime factorization of 41799 in exponential form is:
41799 = 31 × 139331
Prime Factorization of 41818
Prime factors of 41818 are 2, 7, 29, 103. Prime factorization of 41818 in exponential form is:
41818 = 21 × 71 × 291 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 41799 and 41818.
LCM(41799,41818) = 31 × 139331 × 21 × 71 × 291 × 1031
LCM(41799,41818) = 1747950582
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