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What is the Least Common Multiple of 70813 and 70822?

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 70813 and 70822 is 5015118286.

LCM(70813,70822) = 5015118286

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Least Common Multiple of 70813 and 70822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70813 and 70822, than apply into the LCM equation.

GCF(70813,70822) = 1
LCM(70813,70822) = ( 70813 × 70822) / 1
LCM(70813,70822) = 5015118286 / 1
LCM(70813,70822) = 5015118286

Least Common Multiple (LCM) of 70813 and 70822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70813 and 70822. First we will calculate the prime factors of 70813 and 70822.

Prime Factorization of 70813

Prime factors of 70813 are 19, 3727. Prime factorization of 70813 in exponential form is:

70813 = 191 × 37271

Prime Factorization of 70822

Prime factors of 70822 are 2, 17, 2083. Prime factorization of 70822 in exponential form is:

70822 = 21 × 171 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 70813 and 70822.

LCM(70813,70822) = 191 × 37271 × 21 × 171 × 20831
LCM(70813,70822) = 5015118286