What is the Least Common Multiple of 4231 and 4237?
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 4237 is 17926747.
LCM(4231,4237) = 17926747
Least Common Multiple of 4231 and 4237 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 4237, than apply into the LCM equation.
GCF(4231,4237) = 1
LCM(4231,4237) = ( 4231 × 4237) / 1
LCM(4231,4237) = 17926747 / 1
LCM(4231,4237) = 17926747
Least Common Multiple (LCM) of 4231 and 4237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4231 and 4237. First we will calculate the prime factors of 4231 and 4237.
Prime Factorization of 4231
Prime factors of 4231 are 4231. Prime factorization of 4231 in exponential form is:
4231 = 42311
Prime Factorization of 4237
Prime factors of 4237 are 19, 223. Prime factorization of 4237 in exponential form is:
4237 = 191 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 4231 and 4237.
LCM(4231,4237) = 42311 × 191 × 2231
LCM(4231,4237) = 17926747
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