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What is the Least Common Multiple of 52447 and 52467?

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 52467 is 2751736749.

LCM(52447,52467) = 2751736749

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Least Common Multiple of 52447 and 52467 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 52467, than apply into the LCM equation.

GCF(52447,52467) = 1
LCM(52447,52467) = ( 52447 × 52467) / 1
LCM(52447,52467) = 2751736749 / 1
LCM(52447,52467) = 2751736749

Least Common Multiple (LCM) of 52447 and 52467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52447 and 52467. First we will calculate the prime factors of 52447 and 52467.

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 52467

Prime factors of 52467 are 3, 17489. Prime factorization of 52467 in exponential form is:

52467 = 31 × 174891

Now multiplying the highest exponent prime factors to calculate the LCM of 52447 and 52467.

LCM(52447,52467) = 1791 × 2931 × 31 × 174891
LCM(52447,52467) = 2751736749