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What is the Least Common Multiple of 70559 and 70571?

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 70559 and 70571 is 4979419189.

LCM(70559,70571) = 4979419189

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Least Common Multiple of 70559 and 70571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70559 and 70571, than apply into the LCM equation.

GCF(70559,70571) = 1
LCM(70559,70571) = ( 70559 × 70571) / 1
LCM(70559,70571) = 4979419189 / 1
LCM(70559,70571) = 4979419189

Least Common Multiple (LCM) of 70559 and 70571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70559 and 70571. First we will calculate the prime factors of 70559 and 70571.

Prime Factorization of 70559

Prime factors of 70559 are 37, 1907. Prime factorization of 70559 in exponential form is:

70559 = 371 × 19071

Prime Factorization of 70571

Prime factors of 70571 are 70571. Prime factorization of 70571 in exponential form is:

70571 = 705711

Now multiplying the highest exponent prime factors to calculate the LCM of 70559 and 70571.

LCM(70559,70571) = 371 × 19071 × 705711
LCM(70559,70571) = 4979419189