What is the Least Common Multiple of 4223 and 4231?
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 4223 and 4231 is 17867513.
LCM(4223,4231) = 17867513
Least Common Multiple of 4223 and 4231 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4223 and 4231, than apply into the LCM equation.
GCF(4223,4231) = 1
LCM(4223,4231) = ( 4223 × 4231) / 1
LCM(4223,4231) = 17867513 / 1
LCM(4223,4231) = 17867513
Least Common Multiple (LCM) of 4223 and 4231 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4223 and 4231. First we will calculate the prime factors of 4223 and 4231.
Prime Factorization of 4223
Prime factors of 4223 are 41, 103. Prime factorization of 4223 in exponential form is:
4223 = 411 × 1031
Prime Factorization of 4231
Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:
4231 = 42311
Now multiplying the highest exponent prime factors to calculate the LCM of 4223 and 4231.
LCM(4223,4231) = 411 × 1031 × 42311
LCM(4223,4231) = 17867513
Related Least Common Multiples of 4223
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