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What is the Least Common Multiple of 8235 and 8239?

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 8235 and 8239 is 67848165.

LCM(8235,8239) = 67848165

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Least Common Multiple of 8235 and 8239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8235 and 8239, than apply into the LCM equation.

GCF(8235,8239) = 1
LCM(8235,8239) = ( 8235 × 8239) / 1
LCM(8235,8239) = 67848165 / 1
LCM(8235,8239) = 67848165

Least Common Multiple (LCM) of 8235 and 8239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8235 and 8239. First we will calculate the prime factors of 8235 and 8239.

Prime Factorization of 8235

Prime factors of 8235 are 3, 5, 61. Prime factorization of 8235 in exponential form is:

8235 = 33 × 51 × 611

Prime Factorization of 8239

Prime factors of 8239 are 7, 11, 107. Prime factorization of 8239 in exponential form is:

8239 = 71 × 111 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8235 and 8239.

LCM(8235,8239) = 33 × 51 × 611 × 71 × 111 × 1071
LCM(8235,8239) = 67848165