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What is the Least Common Multiple of 70843 and 70853?

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 70843 and 70853 is 5019439079.

LCM(70843,70853) = 5019439079

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Least Common Multiple of 70843 and 70853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70843 and 70853, than apply into the LCM equation.

GCF(70843,70853) = 1
LCM(70843,70853) = ( 70843 × 70853) / 1
LCM(70843,70853) = 5019439079 / 1
LCM(70843,70853) = 5019439079

Least Common Multiple (LCM) of 70843 and 70853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70843 and 70853. First we will calculate the prime factors of 70843 and 70853.

Prime Factorization of 70843

Prime factors of 70843 are 70843. Prime factorization of 70843 in exponential form is:

70843 = 708431

Prime Factorization of 70853

Prime factors of 70853 are 70853. Prime factorization of 70853 in exponential form is:

70853 = 708531

Now multiplying the highest exponent prime factors to calculate the LCM of 70843 and 70853.

LCM(70843,70853) = 708431 × 708531
LCM(70843,70853) = 5019439079