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What is the Least Common Multiple of 70007 and 70022?

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 70007 and 70022 is 4902030154.

LCM(70007,70022) = 4902030154

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Least Common Multiple of 70007 and 70022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70007 and 70022, than apply into the LCM equation.

GCF(70007,70022) = 1
LCM(70007,70022) = ( 70007 × 70022) / 1
LCM(70007,70022) = 4902030154 / 1
LCM(70007,70022) = 4902030154

Least Common Multiple (LCM) of 70007 and 70022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70007 and 70022. First we will calculate the prime factors of 70007 and 70022.

Prime Factorization of 70007

Prime factors of 70007 are 7, 73, 137. Prime factorization of 70007 in exponential form is:

70007 = 71 × 731 × 1371

Prime Factorization of 70022

Prime factors of 70022 are 2, 157, 223. Prime factorization of 70022 in exponential form is:

70022 = 21 × 1571 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 70007 and 70022.

LCM(70007,70022) = 71 × 731 × 1371 × 21 × 1571 × 2231
LCM(70007,70022) = 4902030154