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What is the Least Common Multiple of 70322 and 70341?

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 70322 and 70341 is 4946519802.

LCM(70322,70341) = 4946519802

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Least Common Multiple of 70322 and 70341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70322 and 70341, than apply into the LCM equation.

GCF(70322,70341) = 1
LCM(70322,70341) = ( 70322 × 70341) / 1
LCM(70322,70341) = 4946519802 / 1
LCM(70322,70341) = 4946519802

Least Common Multiple (LCM) of 70322 and 70341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70322 and 70341. First we will calculate the prime factors of 70322 and 70341.

Prime Factorization of 70322

Prime factors of 70322 are 2, 7, 5023. Prime factorization of 70322 in exponential form is:

70322 = 21 × 71 × 50231

Prime Factorization of 70341

Prime factors of 70341 are 3, 23447. Prime factorization of 70341 in exponential form is:

70341 = 31 × 234471

Now multiplying the highest exponent prime factors to calculate the LCM of 70322 and 70341.

LCM(70322,70341) = 21 × 71 × 50231 × 31 × 234471
LCM(70322,70341) = 4946519802