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What is the Least Common Multiple of 80332 and 80343?

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 80332 and 80343 is 6454113876.

LCM(80332,80343) = 6454113876

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Least Common Multiple of 80332 and 80343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80332 and 80343, than apply into the LCM equation.

GCF(80332,80343) = 1
LCM(80332,80343) = ( 80332 × 80343) / 1
LCM(80332,80343) = 6454113876 / 1
LCM(80332,80343) = 6454113876

Least Common Multiple (LCM) of 80332 and 80343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80332 and 80343. First we will calculate the prime factors of 80332 and 80343.

Prime Factorization of 80332

Prime factors of 80332 are 2, 7, 19, 151. Prime factorization of 80332 in exponential form is:

80332 = 22 × 71 × 191 × 1511

Prime Factorization of 80343

Prime factors of 80343 are 3, 79, 113. Prime factorization of 80343 in exponential form is:

80343 = 32 × 791 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 80332 and 80343.

LCM(80332,80343) = 22 × 71 × 191 × 1511 × 32 × 791 × 1131
LCM(80332,80343) = 6454113876