What is the Least Common Multiple of 4231 and 4243?
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 4231 and 4243 is 17952133.
LCM(4231,4243) = 17952133
Least Common Multiple of 4231 and 4243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4231 and 4243, than apply into the LCM equation.
GCF(4231,4243) = 1
LCM(4231,4243) = ( 4231 × 4243) / 1
LCM(4231,4243) = 17952133 / 1
LCM(4231,4243) = 17952133
Least Common Multiple (LCM) of 4231 and 4243 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4231 and 4243. First we will calculate the prime factors of 4231 and 4243.
Prime Factorization of 4231
Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:
4231 = 42311
Prime Factorization of 4243
Prime factors of 4243 are 4243. Prime factorization of 4243 in exponential form is:
4243 = 42431
Now multiplying the highest exponent prime factors to calculate the LCM of 4231 and 4243.
LCM(4231,4243) = 42311 × 42431
LCM(4231,4243) = 17952133
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