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What is the Least Common Multiple of 60263 and 60273?

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 60263 and 60273 is 3632231799.

LCM(60263,60273) = 3632231799

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Least Common Multiple of 60263 and 60273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60263 and 60273, than apply into the LCM equation.

GCF(60263,60273) = 1
LCM(60263,60273) = ( 60263 × 60273) / 1
LCM(60263,60273) = 3632231799 / 1
LCM(60263,60273) = 3632231799

Least Common Multiple (LCM) of 60263 and 60273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60263 and 60273. First we will calculate the prime factors of 60263 and 60273.

Prime Factorization of 60263

Prime factors of 60263 are 7, 8609. Prime factorization of 60263 in exponential form is:

60263 = 71 × 86091

Prime Factorization of 60273

Prime factors of 60273 are 3, 37, 181. Prime factorization of 60273 in exponential form is:

60273 = 32 × 371 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 60263 and 60273.

LCM(60263,60273) = 71 × 86091 × 32 × 371 × 1811
LCM(60263,60273) = 3632231799