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What is the Least Common Multiple of 70087 and 70099?

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 70087 and 70099 is 4913028613.

LCM(70087,70099) = 4913028613

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Least Common Multiple of 70087 and 70099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70087 and 70099, than apply into the LCM equation.

GCF(70087,70099) = 1
LCM(70087,70099) = ( 70087 × 70099) / 1
LCM(70087,70099) = 4913028613 / 1
LCM(70087,70099) = 4913028613

Least Common Multiple (LCM) of 70087 and 70099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70087 and 70099. First we will calculate the prime factors of 70087 and 70099.

Prime Factorization of 70087

Prime factors of 70087 are 109, 643. Prime factorization of 70087 in exponential form is:

70087 = 1091 × 6431

Prime Factorization of 70099

Prime factors of 70099 are 70099. Prime factorization of 70099 in exponential form is:

70099 = 700991

Now multiplying the highest exponent prime factors to calculate the LCM of 70087 and 70099.

LCM(70087,70099) = 1091 × 6431 × 700991
LCM(70087,70099) = 4913028613