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What is the Least Common Multiple of 68313 and 68332?

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 68313 and 68332 is 4667963916.

LCM(68313,68332) = 4667963916

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Least Common Multiple of 68313 and 68332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68313 and 68332, than apply into the LCM equation.

GCF(68313,68332) = 1
LCM(68313,68332) = ( 68313 × 68332) / 1
LCM(68313,68332) = 4667963916 / 1
LCM(68313,68332) = 4667963916

Least Common Multiple (LCM) of 68313 and 68332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68313 and 68332. First we will calculate the prime factors of 68313 and 68332.

Prime Factorization of 68313

Prime factors of 68313 are 3, 7, 3253. Prime factorization of 68313 in exponential form is:

68313 = 31 × 71 × 32531

Prime Factorization of 68332

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

68332 = 22 × 111 × 15531

Now multiplying the highest exponent prime factors to calculate the LCM of 68313 and 68332.

LCM(68313,68332) = 31 × 71 × 32531 × 22 × 111 × 15531
LCM(68313,68332) = 4667963916