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What is the Least Common Multiple of 70187 and 70195?

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 70187 and 70195 is 4926776465.

LCM(70187,70195) = 4926776465

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Least Common Multiple of 70187 and 70195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70187 and 70195, than apply into the LCM equation.

GCF(70187,70195) = 1
LCM(70187,70195) = ( 70187 × 70195) / 1
LCM(70187,70195) = 4926776465 / 1
LCM(70187,70195) = 4926776465

Least Common Multiple (LCM) of 70187 and 70195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70187 and 70195. First we will calculate the prime factors of 70187 and 70195.

Prime Factorization of 70187

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

70187 = 131 × 53991

Prime Factorization of 70195

Prime factors of 70195 are 5, 101, 139. Prime factorization of 70195 in exponential form is:

70195 = 51 × 1011 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 70187 and 70195.

LCM(70187,70195) = 131 × 53991 × 51 × 1011 × 1391
LCM(70187,70195) = 4926776465