What is the Least Common Multiple of 40799 and 40818?
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 40799 and 40818 is 1665333582.
LCM(40799,40818) = 1665333582
Least Common Multiple of 40799 and 40818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40799 and 40818, than apply into the LCM equation.
GCF(40799,40818) = 1
LCM(40799,40818) = ( 40799 × 40818) / 1
LCM(40799,40818) = 1665333582 / 1
LCM(40799,40818) = 1665333582
Least Common Multiple (LCM) of 40799 and 40818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40799 and 40818. First we will calculate the prime factors of 40799 and 40818.
Prime Factorization of 40799
Prime factors of 40799 are 11, 3709. Prime factorization of 40799 in exponential form is:
40799 = 111 × 37091
Prime Factorization of 40818
Prime factors of 40818 are 2, 3, 6803. Prime factorization of 40818 in exponential form is:
40818 = 21 × 31 × 68031
Now multiplying the highest exponent prime factors to calculate the LCM of 40799 and 40818.
LCM(40799,40818) = 111 × 37091 × 21 × 31 × 68031
LCM(40799,40818) = 1665333582
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