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What is the Least Common Multiple of 59267 and 59281?

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 59267 and 59281 is 3513407027.

LCM(59267,59281) = 3513407027

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Least Common Multiple of 59267 and 59281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59267 and 59281, than apply into the LCM equation.

GCF(59267,59281) = 1
LCM(59267,59281) = ( 59267 × 59281) / 1
LCM(59267,59281) = 3513407027 / 1
LCM(59267,59281) = 3513407027

Least Common Multiple (LCM) of 59267 and 59281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59267 and 59281. First we will calculate the prime factors of 59267 and 59281.

Prime Factorization of 59267

Prime factors of 59267 are 13, 47, 97. Prime factorization of 59267 in exponential form is:

59267 = 131 × 471 × 971

Prime Factorization of 59281

Prime factors of 59281 are 59281. Prime factorization of 59281 in exponential form is:

59281 = 592811

Now multiplying the highest exponent prime factors to calculate the LCM of 59267 and 59281.

LCM(59267,59281) = 131 × 471 × 971 × 592811
LCM(59267,59281) = 3513407027