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What is the Least Common Multiple of 68296 and 68315?

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 68296 and 68315 is 4665641240.

LCM(68296,68315) = 4665641240

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Least Common Multiple of 68296 and 68315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68296 and 68315, than apply into the LCM equation.

GCF(68296,68315) = 1
LCM(68296,68315) = ( 68296 × 68315) / 1
LCM(68296,68315) = 4665641240 / 1
LCM(68296,68315) = 4665641240

Least Common Multiple (LCM) of 68296 and 68315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68296 and 68315. First we will calculate the prime factors of 68296 and 68315.

Prime Factorization of 68296

Prime factors of 68296 are 2, 8537. Prime factorization of 68296 in exponential form is:

68296 = 23 × 85371

Prime Factorization of 68315

Prime factors of 68315 are 5, 13, 1051. Prime factorization of 68315 in exponential form is:

68315 = 51 × 131 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 68296 and 68315.

LCM(68296,68315) = 23 × 85371 × 51 × 131 × 10511
LCM(68296,68315) = 4665641240