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What is the Least Common Multiple of 70318 and 70327?

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 70318 and 70327 is 4945253986.

LCM(70318,70327) = 4945253986

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Least Common Multiple of 70318 and 70327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70318 and 70327, than apply into the LCM equation.

GCF(70318,70327) = 1
LCM(70318,70327) = ( 70318 × 70327) / 1
LCM(70318,70327) = 4945253986 / 1
LCM(70318,70327) = 4945253986

Least Common Multiple (LCM) of 70318 and 70327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70318 and 70327. First we will calculate the prime factors of 70318 and 70327.

Prime Factorization of 70318

Prime factors of 70318 are 2, 35159. Prime factorization of 70318 in exponential form is:

70318 = 21 × 351591

Prime Factorization of 70327

Prime factors of 70327 are 70327. Prime factorization of 70327 in exponential form is:

70327 = 703271

Now multiplying the highest exponent prime factors to calculate the LCM of 70318 and 70327.

LCM(70318,70327) = 21 × 351591 × 703271
LCM(70318,70327) = 4945253986