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What is the Least Common Multiple of 68332 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 68332 and 68343 is 424546716.

LCM(68332,68343) = 424546716

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Least Common Multiple of 68332 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 68332 and 68343, than apply into the LCM equation.

GCF(68332,68343) = 11
LCM(68332,68343) = ( 68332 × 68343) / 11
LCM(68332,68343) = 4670013876 / 11
LCM(68332,68343) = 424546716

Least Common Multiple (LCM) of 68332 and 68343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68332 and 68343. First we will calculate the prime factors of 68332 and 68343.

Prime Factorization of 68332

Prime factors of 68332 are 2, 11, 1553. Prime factorization of 68332 in exponential form is:

68332 = 22 × 111 × 15531

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 68332 and 68343.

LCM(68332,68343) = 22 × 111 × 15531 × 31 × 191 × 1091
LCM(68332,68343) = 424546716