What is the Least Common Multiple of 28821 and 28835?
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 28821 and 28835 is 831053535.
LCM(28821,28835) = 831053535
Least Common Multiple of 28821 and 28835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28821 and 28835, than apply into the LCM equation.
GCF(28821,28835) = 1
LCM(28821,28835) = ( 28821 × 28835) / 1
LCM(28821,28835) = 831053535 / 1
LCM(28821,28835) = 831053535
Least Common Multiple (LCM) of 28821 and 28835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28821 and 28835. First we will calculate the prime factors of 28821 and 28835.
Prime Factorization of 28821
Prime factors of 28821 are 3, 13, 739. Prime factorization of 28821 in exponential form is:
28821 = 31 × 131 × 7391
Prime Factorization of 28835
Prime factors of 28835 are 5, 73, 79. Prime factorization of 28835 in exponential form is:
28835 = 51 × 731 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 28821 and 28835.
LCM(28821,28835) = 31 × 131 × 7391 × 51 × 731 × 791
LCM(28821,28835) = 831053535
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