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What is the Least Common Multiple of 60273 and 60283?

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 60273 and 60283 is 3633437259.

LCM(60273,60283) = 3633437259

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Least Common Multiple of 60273 and 60283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60273 and 60283, than apply into the LCM equation.

GCF(60273,60283) = 1
LCM(60273,60283) = ( 60273 × 60283) / 1
LCM(60273,60283) = 3633437259 / 1
LCM(60273,60283) = 3633437259

Least Common Multiple (LCM) of 60273 and 60283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60273 and 60283. First we will calculate the prime factors of 60273 and 60283.

Prime Factorization of 60273

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

60273 = 32 × 371 × 1811

Prime Factorization of 60283

Prime factors of 60283 are 23, 2621. Prime factorization of 60283 in exponential form is:

60283 = 231 × 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 60273 and 60283.

LCM(60273,60283) = 32 × 371 × 1811 × 231 × 26211
LCM(60273,60283) = 3633437259