What is the Least Common Multiple of 28357 and 28363?
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 28357 and 28363 is 804289591.
LCM(28357,28363) = 804289591
Least Common Multiple of 28357 and 28363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28357 and 28363, than apply into the LCM equation.
GCF(28357,28363) = 1
LCM(28357,28363) = ( 28357 × 28363) / 1
LCM(28357,28363) = 804289591 / 1
LCM(28357,28363) = 804289591
Least Common Multiple (LCM) of 28357 and 28363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28357 and 28363. First we will calculate the prime factors of 28357 and 28363.
Prime Factorization of 28357
Prime factors of 28357 are 7, 4051. Prime factorization of 28357 in exponential form is:
28357 = 71 × 40511
Prime Factorization of 28363
Prime factors of 28363 are 113, 251. Prime factorization of 28363 in exponential form is:
28363 = 1131 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 28357 and 28363.
LCM(28357,28363) = 71 × 40511 × 1131 × 2511
LCM(28357,28363) = 804289591
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