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What is the Least Common Multiple of 70031 and 70051?

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 70031 and 70051 is 4905741581.

LCM(70031,70051) = 4905741581

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Least Common Multiple of 70031 and 70051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70031 and 70051, than apply into the LCM equation.

GCF(70031,70051) = 1
LCM(70031,70051) = ( 70031 × 70051) / 1
LCM(70031,70051) = 4905741581 / 1
LCM(70031,70051) = 4905741581

Least Common Multiple (LCM) of 70031 and 70051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70031 and 70051. First we will calculate the prime factors of 70031 and 70051.

Prime Factorization of 70031

Prime factors of 70031 are 13, 5387. Prime factorization of 70031 in exponential form is:

70031 = 131 × 53871

Prime Factorization of 70051

Prime factors of 70051 are 70051. Prime factorization of 70051 in exponential form is:

70051 = 700511

Now multiplying the highest exponent prime factors to calculate the LCM of 70031 and 70051.

LCM(70031,70051) = 131 × 53871 × 700511
LCM(70031,70051) = 4905741581