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What is the Least Common Multiple of 70265 and 70279?

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 70265 and 70279 is 4938153935.

LCM(70265,70279) = 4938153935

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Least Common Multiple of 70265 and 70279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70265 and 70279, than apply into the LCM equation.

GCF(70265,70279) = 1
LCM(70265,70279) = ( 70265 × 70279) / 1
LCM(70265,70279) = 4938153935 / 1
LCM(70265,70279) = 4938153935

Least Common Multiple (LCM) of 70265 and 70279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70265 and 70279. First we will calculate the prime factors of 70265 and 70279.

Prime Factorization of 70265

Prime factors of 70265 are 5, 13, 23, 47. Prime factorization of 70265 in exponential form is:

70265 = 51 × 131 × 231 × 471

Prime Factorization of 70279

Prime factors of 70279 are 11, 6389. Prime factorization of 70279 in exponential form is:

70279 = 111 × 63891

Now multiplying the highest exponent prime factors to calculate the LCM of 70265 and 70279.

LCM(70265,70279) = 51 × 131 × 231 × 471 × 111 × 63891
LCM(70265,70279) = 4938153935