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What is the Least Common Multiple of 4232 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 4232 and 4239 is 17939448.

LCM(4232,4239) = 17939448

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Least Common Multiple of 4232 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 4232 and 4239, than apply into the LCM equation.

GCF(4232,4239) = 1
LCM(4232,4239) = ( 4232 × 4239) / 1
LCM(4232,4239) = 17939448 / 1
LCM(4232,4239) = 17939448

Least Common Multiple (LCM) of 4232 and 4239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4232 and 4239. First we will calculate the prime factors of 4232 and 4239.

Prime Factorization of 4232

Prime factors of 4232 are 2, 23. Prime factorization of 4232 in exponential form is:

4232 = 23 × 232

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 4232 and 4239.

LCM(4232,4239) = 23 × 232 × 33 × 1571
LCM(4232,4239) = 17939448