What is the Least Common Multiple of 28961 and 28976?
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 28961 and 28976 is 839173936.
LCM(28961,28976) = 839173936
Least Common Multiple of 28961 and 28976 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28961 and 28976, than apply into the LCM equation.
GCF(28961,28976) = 1
LCM(28961,28976) = ( 28961 × 28976) / 1
LCM(28961,28976) = 839173936 / 1
LCM(28961,28976) = 839173936
Least Common Multiple (LCM) of 28961 and 28976 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28961 and 28976. First we will calculate the prime factors of 28961 and 28976.
Prime Factorization of 28961
Prime factors of 28961 are 28961. Prime factorization of 28961 in exponential form is:
28961 = 289611
Prime Factorization of 28976
Prime factors of 28976 are 2, 1811. Prime factorization of 28976 in exponential form is:
28976 = 24 × 18111
Now multiplying the highest exponent prime factors to calculate the LCM of 28961 and 28976.
LCM(28961,28976) = 289611 × 24 × 18111
LCM(28961,28976) = 839173936
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