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What is the Least Common Multiple of 52447 and 52461?

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 52447 and 52461 is 2751422067.

LCM(52447,52461) = 2751422067

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Least Common Multiple of 52447 and 52461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52447 and 52461, than apply into the LCM equation.

GCF(52447,52461) = 1
LCM(52447,52461) = ( 52447 × 52461) / 1
LCM(52447,52461) = 2751422067 / 1
LCM(52447,52461) = 2751422067

Least Common Multiple (LCM) of 52447 and 52461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52447 and 52461. First we will calculate the prime factors of 52447 and 52461.

Prime Factorization of 52447

Prime factors of 52447 are 179, 293. Prime factorization of 52447 in exponential form is:

52447 = 1791 × 2931

Prime Factorization of 52461

Prime factors of 52461 are 3, 29, 67. Prime factorization of 52461 in exponential form is:

52461 = 33 × 291 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 52447 and 52461.

LCM(52447,52461) = 1791 × 2931 × 33 × 291 × 671
LCM(52447,52461) = 2751422067