What is the Least Common Multiple of 28853 and 28872?
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 28853 and 28872 is 833043816.
LCM(28853,28872) = 833043816
Least Common Multiple of 28853 and 28872 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28853 and 28872, than apply into the LCM equation.
GCF(28853,28872) = 1
LCM(28853,28872) = ( 28853 × 28872) / 1
LCM(28853,28872) = 833043816 / 1
LCM(28853,28872) = 833043816
Least Common Multiple (LCM) of 28853 and 28872 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28853 and 28872. First we will calculate the prime factors of 28853 and 28872.
Prime Factorization of 28853
Prime factors of 28853 are 11, 43, 61. Prime factorization of 28853 in exponential form is:
28853 = 111 × 431 × 611
Prime Factorization of 28872
Prime factors of 28872 are 2, 3, 401. Prime factorization of 28872 in exponential form is:
28872 = 23 × 32 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 28853 and 28872.
LCM(28853,28872) = 111 × 431 × 611 × 23 × 32 × 4011
LCM(28853,28872) = 833043816
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