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What is the Least Common Multiple of 68328 and 68335?

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 68335 is 4669193880.

LCM(68328,68335) = 4669193880

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Least Common Multiple of 68328 and 68335 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 68335, than apply into the LCM equation.

GCF(68328,68335) = 1
LCM(68328,68335) = ( 68328 × 68335) / 1
LCM(68328,68335) = 4669193880 / 1
LCM(68328,68335) = 4669193880

Least Common Multiple (LCM) of 68328 and 68335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68328 and 68335. First we will calculate the prime factors of 68328 and 68335.

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 68335

Prime factors of 68335 are 5, 79, 173. Prime factorization of 68335 in exponential form is:

68335 = 51 × 791 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 68328 and 68335.

LCM(68328,68335) = 23 × 32 × 131 × 731 × 51 × 791 × 1731
LCM(68328,68335) = 4669193880