What is the Least Common Multiple of 28881 and 28901?
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 28881 and 28901 is 834689781.
LCM(28881,28901) = 834689781
Least Common Multiple of 28881 and 28901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28881 and 28901, than apply into the LCM equation.
GCF(28881,28901) = 1
LCM(28881,28901) = ( 28881 × 28901) / 1
LCM(28881,28901) = 834689781 / 1
LCM(28881,28901) = 834689781
Least Common Multiple (LCM) of 28881 and 28901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28881 and 28901. First we will calculate the prime factors of 28881 and 28901.
Prime Factorization of 28881
Prime factors of 28881 are 3, 3209. Prime factorization of 28881 in exponential form is:
28881 = 32 × 32091
Prime Factorization of 28901
Prime factors of 28901 are 28901. Prime factorization of 28901 in exponential form is:
28901 = 289011
Now multiplying the highest exponent prime factors to calculate the LCM of 28881 and 28901.
LCM(28881,28901) = 32 × 32091 × 289011
LCM(28881,28901) = 834689781
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