What is the Least Common Multiple of 28963 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 28963 and 28976 is 839231888.
LCM(28963,28976) = 839231888
Least Common Multiple of 28963 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 28963 and 28976, than apply into the LCM equation.
GCF(28963,28976) = 1
LCM(28963,28976) = ( 28963 × 28976) / 1
LCM(28963,28976) = 839231888 / 1
LCM(28963,28976) = 839231888
Least Common Multiple (LCM) of 28963 and 28976 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28963 and 28976. First we will calculate the prime factors of 28963 and 28976.
Prime Factorization of 28963
Prime factors of 28963 are 11, 2633. Prime factorization of 28963 in exponential form is:
28963 = 111 × 26331
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 28963 and 28976.
LCM(28963,28976) = 111 × 26331 × 24 × 18111
LCM(28963,28976) = 839231888
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