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What is the Least Common Multiple of 52273 and 52293?

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 52273 and 52293 is 2733511989.

LCM(52273,52293) = 2733511989

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Least Common Multiple of 52273 and 52293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52273 and 52293, than apply into the LCM equation.

GCF(52273,52293) = 1
LCM(52273,52293) = ( 52273 × 52293) / 1
LCM(52273,52293) = 2733511989 / 1
LCM(52273,52293) = 2733511989

Least Common Multiple (LCM) of 52273 and 52293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52273 and 52293. First we will calculate the prime factors of 52273 and 52293.

Prime Factorization of 52273

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

52273 = 131 × 40211

Prime Factorization of 52293

Prime factors of 52293 are 3, 17431. Prime factorization of 52293 in exponential form is:

52293 = 31 × 174311

Now multiplying the highest exponent prime factors to calculate the LCM of 52273 and 52293.

LCM(52273,52293) = 131 × 40211 × 31 × 174311
LCM(52273,52293) = 2733511989