What is the Least Common Multiple of 4227 and 4232?
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 4227 and 4232 is 17888664.
LCM(4227,4232) = 17888664
Least Common Multiple of 4227 and 4232 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4227 and 4232, than apply into the LCM equation.
GCF(4227,4232) = 1
LCM(4227,4232) = ( 4227 × 4232) / 1
LCM(4227,4232) = 17888664 / 1
LCM(4227,4232) = 17888664
Least Common Multiple (LCM) of 4227 and 4232 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4227 and 4232. First we will calculate the prime factors of 4227 and 4232.
Prime Factorization of 4227
Prime factors of 4227 are 3, 1409. Prime factorization of 4227 in exponential form is:
4227 = 31 × 14091
Prime Factorization of 4232
Prime factors of 4232 are 2, 23. Prime factorization of 4232 in exponential form is:
4232 = 23 × 232
Now multiplying the highest exponent prime factors to calculate the LCM of 4227 and 4232.
LCM(4227,4232) = 31 × 14091 × 23 × 232
LCM(4227,4232) = 17888664
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