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What is the Least Common Multiple of 68328 and 68343?

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 68328 and 68343 is 1556580168.

LCM(68328,68343) = 1556580168

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Least Common Multiple of 68328 and 68343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68328 and 68343, than apply into the LCM equation.

GCF(68328,68343) = 3
LCM(68328,68343) = ( 68328 × 68343) / 3
LCM(68328,68343) = 4669740504 / 3
LCM(68328,68343) = 1556580168

Least Common Multiple (LCM) of 68328 and 68343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68328 and 68343. First we will calculate the prime factors of 68328 and 68343.

Prime Factorization of 68328

Prime factors of 68328 are 2, 3, 13, 73. Prime factorization of 68328 in exponential form is:

68328 = 23 × 32 × 131 × 731

Prime Factorization of 68343

Prime factors of 68343 are 3, 11, 19, 109. Prime factorization of 68343 in exponential form is:

68343 = 31 × 111 × 191 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 68328 and 68343.

LCM(68328,68343) = 23 × 32 × 131 × 731 × 111 × 191 × 1091
LCM(68328,68343) = 1556580168