What is the Least Common Multiple of 28813 and 28818?
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 28813 and 28818 is 830333034.
LCM(28813,28818) = 830333034
Least Common Multiple of 28813 and 28818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28813 and 28818, than apply into the LCM equation.
GCF(28813,28818) = 1
LCM(28813,28818) = ( 28813 × 28818) / 1
LCM(28813,28818) = 830333034 / 1
LCM(28813,28818) = 830333034
Least Common Multiple (LCM) of 28813 and 28818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28813 and 28818. First we will calculate the prime factors of 28813 and 28818.
Prime Factorization of 28813
Prime factors of 28813 are 28813. Prime factorization of 28813 in exponential form is:
28813 = 288131
Prime Factorization of 28818
Prime factors of 28818 are 2, 3, 1601. Prime factorization of 28818 in exponential form is:
28818 = 21 × 32 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 28813 and 28818.
LCM(28813,28818) = 288131 × 21 × 32 × 16011
LCM(28813,28818) = 830333034
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