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What is the Least Common Multiple of 8239 and 8251?

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 8239 and 8251 is 67979989.

LCM(8239,8251) = 67979989

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Least Common Multiple of 8239 and 8251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8239 and 8251, than apply into the LCM equation.

GCF(8239,8251) = 1
LCM(8239,8251) = ( 8239 × 8251) / 1
LCM(8239,8251) = 67979989 / 1
LCM(8239,8251) = 67979989

Least Common Multiple (LCM) of 8239 and 8251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8239 and 8251. First we will calculate the prime factors of 8239 and 8251.

Prime Factorization of 8239

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

8239 = 71 × 111 × 1071

Prime Factorization of 8251

Prime factors of 8251 are 37, 223. Prime factorization of 8251 in exponential form is:

8251 = 371 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8239 and 8251.

LCM(8239,8251) = 71 × 111 × 1071 × 371 × 2231
LCM(8239,8251) = 67979989