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What is the Least Common Multiple of 70183 and 70187?

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 70183 and 70187 is 4925934221.

LCM(70183,70187) = 4925934221

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Least Common Multiple of 70183 and 70187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70183 and 70187, than apply into the LCM equation.

GCF(70183,70187) = 1
LCM(70183,70187) = ( 70183 × 70187) / 1
LCM(70183,70187) = 4925934221 / 1
LCM(70183,70187) = 4925934221

Least Common Multiple (LCM) of 70183 and 70187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70183 and 70187. First we will calculate the prime factors of 70183 and 70187.

Prime Factorization of 70183

Prime factors of 70183 are 70183. Prime factorization of 70183 in exponential form is:

70183 = 701831

Prime Factorization of 70187

Prime factors of 70187 are 13, 5399. Prime factorization of 70187 in exponential form is:

70187 = 131 × 53991

Now multiplying the highest exponent prime factors to calculate the LCM of 70183 and 70187.

LCM(70183,70187) = 701831 × 131 × 53991
LCM(70183,70187) = 4925934221