What is the Least Common Multiple of 50810 and 50818?
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 50810 and 50818 is 1291031290.
LCM(50810,50818) = 1291031290
Least Common Multiple of 50810 and 50818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50810 and 50818, than apply into the LCM equation.
GCF(50810,50818) = 2
LCM(50810,50818) = ( 50810 × 50818) / 2
LCM(50810,50818) = 2582062580 / 2
LCM(50810,50818) = 1291031290
Least Common Multiple (LCM) of 50810 and 50818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50810 and 50818. First we will calculate the prime factors of 50810 and 50818.
Prime Factorization of 50810
Prime factors of 50810 are 2, 5, 5081. Prime factorization of 50810 in exponential form is:
50810 = 21 × 51 × 50811
Prime Factorization of 50818
Prime factors of 50818 are 2, 25409. Prime factorization of 50818 in exponential form is:
50818 = 21 × 254091
Now multiplying the highest exponent prime factors to calculate the LCM of 50810 and 50818.
LCM(50810,50818) = 21 × 51 × 50811 × 254091
LCM(50810,50818) = 1291031290
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