What is the Least Common Multiple of 28846 and 28853?
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 28846 and 28853 is 832293638.
LCM(28846,28853) = 832293638
Least Common Multiple of 28846 and 28853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28846 and 28853, than apply into the LCM equation.
GCF(28846,28853) = 1
LCM(28846,28853) = ( 28846 × 28853) / 1
LCM(28846,28853) = 832293638 / 1
LCM(28846,28853) = 832293638
Least Common Multiple (LCM) of 28846 and 28853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28846 and 28853. First we will calculate the prime factors of 28846 and 28853.
Prime Factorization of 28846
Prime factors of 28846 are 2, 14423. Prime factorization of 28846 in exponential form is:
28846 = 21 × 144231
Prime Factorization of 28853
Prime factors of 28853 are 11, 43, 61. Prime factorization of 28853 in exponential form is:
28853 = 111 × 431 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 28846 and 28853.
LCM(28846,28853) = 21 × 144231 × 111 × 431 × 611
LCM(28846,28853) = 832293638
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