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What is the Least Common Multiple of 68470 and 68488?

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 68470 and 68488 is 2344686680.

LCM(68470,68488) = 2344686680

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Least Common Multiple of 68470 and 68488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68470 and 68488, than apply into the LCM equation.

GCF(68470,68488) = 2
LCM(68470,68488) = ( 68470 × 68488) / 2
LCM(68470,68488) = 4689373360 / 2
LCM(68470,68488) = 2344686680

Least Common Multiple (LCM) of 68470 and 68488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68470 and 68488. First we will calculate the prime factors of 68470 and 68488.

Prime Factorization of 68470

Prime factors of 68470 are 2, 5, 41, 167. Prime factorization of 68470 in exponential form is:

68470 = 21 × 51 × 411 × 1671

Prime Factorization of 68488

Prime factors of 68488 are 2, 7, 1223. Prime factorization of 68488 in exponential form is:

68488 = 23 × 71 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 68470 and 68488.

LCM(68470,68488) = 23 × 51 × 411 × 1671 × 71 × 12231
LCM(68470,68488) = 2344686680