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What is the Least Common Multiple of 53471 and 53479?

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 53471 and 53479 is 2859575609.

LCM(53471,53479) = 2859575609

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Least Common Multiple of 53471 and 53479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53471 and 53479, than apply into the LCM equation.

GCF(53471,53479) = 1
LCM(53471,53479) = ( 53471 × 53479) / 1
LCM(53471,53479) = 2859575609 / 1
LCM(53471,53479) = 2859575609

Least Common Multiple (LCM) of 53471 and 53479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53471 and 53479. First we will calculate the prime factors of 53471 and 53479.

Prime Factorization of 53471

Prime factors of 53471 are 11, 4861. Prime factorization of 53471 in exponential form is:

53471 = 111 × 48611

Prime Factorization of 53479

Prime factors of 53479 are 53479. Prime factorization of 53479 in exponential form is:

53479 = 534791

Now multiplying the highest exponent prime factors to calculate the LCM of 53471 and 53479.

LCM(53471,53479) = 111 × 48611 × 534791
LCM(53471,53479) = 2859575609