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What is the Least Common Multiple of 68330 and 68340?

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 68330 and 68340 is 466967220.

LCM(68330,68340) = 466967220

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Least Common Multiple of 68330 and 68340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68330 and 68340, than apply into the LCM equation.

GCF(68330,68340) = 10
LCM(68330,68340) = ( 68330 × 68340) / 10
LCM(68330,68340) = 4669672200 / 10
LCM(68330,68340) = 466967220

Least Common Multiple (LCM) of 68330 and 68340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68330 and 68340. First we will calculate the prime factors of 68330 and 68340.

Prime Factorization of 68330

Prime factors of 68330 are 2, 5, 6833. Prime factorization of 68330 in exponential form is:

68330 = 21 × 51 × 68331

Prime Factorization of 68340

Prime factors of 68340 are 2, 3, 5, 17, 67. Prime factorization of 68340 in exponential form is:

68340 = 22 × 31 × 51 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 68330 and 68340.

LCM(68330,68340) = 22 × 51 × 68331 × 31 × 171 × 671
LCM(68330,68340) = 466967220