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What is the Least Common Multiple of 70187 and 70194?

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 70194 is 4926706278.

LCM(70187,70194) = 4926706278

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Least Common Multiple of 70187 and 70194 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 70194, than apply into the LCM equation.

GCF(70187,70194) = 1
LCM(70187,70194) = ( 70187 × 70194) / 1
LCM(70187,70194) = 4926706278 / 1
LCM(70187,70194) = 4926706278

Least Common Multiple (LCM) of 70187 and 70194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70187 and 70194. First we will calculate the prime factors of 70187 and 70194.

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 70194

Prime factors of 70194 are 2, 3, 11699. Prime factorization of 70194 in exponential form is:

70194 = 21 × 31 × 116991

Now multiplying the highest exponent prime factors to calculate the LCM of 70187 and 70194.

LCM(70187,70194) = 131 × 53991 × 21 × 31 × 116991
LCM(70187,70194) = 4926706278