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What is the Least Common Multiple of 4239 and 4245?

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 4239 and 4245 is 5998185.

LCM(4239,4245) = 5998185

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Least Common Multiple of 4239 and 4245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4239 and 4245, than apply into the LCM equation.

GCF(4239,4245) = 3
LCM(4239,4245) = ( 4239 × 4245) / 3
LCM(4239,4245) = 17994555 / 3
LCM(4239,4245) = 5998185

Least Common Multiple (LCM) of 4239 and 4245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4239 and 4245. First we will calculate the prime factors of 4239 and 4245.

Prime Factorization of 4239

Prime factors of 4239 are 3, 157. Prime factorization of 4239 in exponential form is:

4239 = 33 × 1571

Prime Factorization of 4245

Prime factors of 4245 are 3, 5, 283. Prime factorization of 4245 in exponential form is:

4245 = 31 × 51 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 4239 and 4245.

LCM(4239,4245) = 33 × 1571 × 51 × 2831
LCM(4239,4245) = 5998185