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What is the Least Common Multiple of 52267 and 52273?

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 52267 and 52273 is 2732152891.

LCM(52267,52273) = 2732152891

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Least Common Multiple of 52267 and 52273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52267 and 52273, than apply into the LCM equation.

GCF(52267,52273) = 1
LCM(52267,52273) = ( 52267 × 52273) / 1
LCM(52267,52273) = 2732152891 / 1
LCM(52267,52273) = 2732152891

Least Common Multiple (LCM) of 52267 and 52273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52267 and 52273. First we will calculate the prime factors of 52267 and 52273.

Prime Factorization of 52267

Prime factors of 52267 are 52267. Prime factorization of 52267 in exponential form is:

52267 = 522671

Prime Factorization of 52273

Prime factors of 52273 are 13, 4021. Prime factorization of 52273 in exponential form is:

52273 = 131 × 40211

Now multiplying the highest exponent prime factors to calculate the LCM of 52267 and 52273.

LCM(52267,52273) = 522671 × 131 × 40211
LCM(52267,52273) = 2732152891