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What is the Least Common Multiple of 70093 and 70106?

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 70093 and 70106 is 4913939858.

LCM(70093,70106) = 4913939858

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Least Common Multiple of 70093 and 70106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70093 and 70106, than apply into the LCM equation.

GCF(70093,70106) = 1
LCM(70093,70106) = ( 70093 × 70106) / 1
LCM(70093,70106) = 4913939858 / 1
LCM(70093,70106) = 4913939858

Least Common Multiple (LCM) of 70093 and 70106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70093 and 70106. First we will calculate the prime factors of 70093 and 70106.

Prime Factorization of 70093

Prime factors of 70093 are 29, 2417. Prime factorization of 70093 in exponential form is:

70093 = 291 × 24171

Prime Factorization of 70106

Prime factors of 70106 are 2, 35053. Prime factorization of 70106 in exponential form is:

70106 = 21 × 350531

Now multiplying the highest exponent prime factors to calculate the LCM of 70093 and 70106.

LCM(70093,70106) = 291 × 24171 × 21 × 350531
LCM(70093,70106) = 4913939858