What is the Least Common Multiple of 7799 and 7818?
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 7799 and 7818 is 60972582.
LCM(7799,7818) = 60972582
Least Common Multiple of 7799 and 7818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7799 and 7818, than apply into the LCM equation.
GCF(7799,7818) = 1
LCM(7799,7818) = ( 7799 × 7818) / 1
LCM(7799,7818) = 60972582 / 1
LCM(7799,7818) = 60972582
Least Common Multiple (LCM) of 7799 and 7818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7799 and 7818. First we will calculate the prime factors of 7799 and 7818.
Prime Factorization of 7799
Prime factors of 7799 are 11, 709. Prime factorization of 7799 in exponential form is:
7799 = 111 × 7091
Prime Factorization of 7818
Prime factors of 7818 are 2, 3, 1303. Prime factorization of 7818 in exponential form is:
7818 = 21 × 31 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 7799 and 7818.
LCM(7799,7818) = 111 × 7091 × 21 × 31 × 13031
LCM(7799,7818) = 60972582
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