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What is the Least Common Multiple of 70917 and 70927?

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 70917 and 70927 is 5029930059.

LCM(70917,70927) = 5029930059

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Least Common Multiple of 70917 and 70927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70917 and 70927, than apply into the LCM equation.

GCF(70917,70927) = 1
LCM(70917,70927) = ( 70917 × 70927) / 1
LCM(70917,70927) = 5029930059 / 1
LCM(70917,70927) = 5029930059

Least Common Multiple (LCM) of 70917 and 70927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70917 and 70927. First we will calculate the prime factors of 70917 and 70927.

Prime Factorization of 70917

Prime factors of 70917 are 3, 7, 11, 307. Prime factorization of 70917 in exponential form is:

70917 = 31 × 71 × 111 × 3071

Prime Factorization of 70927

Prime factors of 70927 are 19, 3733. Prime factorization of 70927 in exponential form is:

70927 = 191 × 37331

Now multiplying the highest exponent prime factors to calculate the LCM of 70917 and 70927.

LCM(70917,70927) = 31 × 71 × 111 × 3071 × 191 × 37331
LCM(70917,70927) = 5029930059