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What is the Least Common Multiple of 70046 and 70063?

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 70046 and 70063 is 4907632898.

LCM(70046,70063) = 4907632898

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Least Common Multiple of 70046 and 70063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70046 and 70063, than apply into the LCM equation.

GCF(70046,70063) = 1
LCM(70046,70063) = ( 70046 × 70063) / 1
LCM(70046,70063) = 4907632898 / 1
LCM(70046,70063) = 4907632898

Least Common Multiple (LCM) of 70046 and 70063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70046 and 70063. First we will calculate the prime factors of 70046 and 70063.

Prime Factorization of 70046

Prime factors of 70046 are 2, 35023. Prime factorization of 70046 in exponential form is:

70046 = 21 × 350231

Prime Factorization of 70063

Prime factors of 70063 are 7, 10009. Prime factorization of 70063 in exponential form is:

70063 = 71 × 100091

Now multiplying the highest exponent prime factors to calculate the LCM of 70046 and 70063.

LCM(70046,70063) = 21 × 350231 × 71 × 100091
LCM(70046,70063) = 4907632898