What is the Least Common Multiple of 4233 and 4239?
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 4233 and 4239 is 5981229.
LCM(4233,4239) = 5981229
Least Common Multiple of 4233 and 4239 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4233 and 4239, than apply into the LCM equation.
GCF(4233,4239) = 3
LCM(4233,4239) = ( 4233 × 4239) / 3
LCM(4233,4239) = 17943687 / 3
LCM(4233,4239) = 5981229
Least Common Multiple (LCM) of 4233 and 4239 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4233 and 4239. First we will calculate the prime factors of 4233 and 4239.
Prime Factorization of 4233
Prime factors of 4233 are 3, 17, 83. Prime factorization of 4233 in exponential form is:
4233 = 31 × 171 × 831
Prime Factorization of 4239
Prime factors of 4239 are 3, 157. Prime factorization of 4239 in exponential form is:
4239 = 33 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 4233 and 4239.
LCM(4233,4239) = 33 × 171 × 831 × 1571
LCM(4233,4239) = 5981229
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