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What is the Least Common Multiple of 59267 and 59283?

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 59283 is 3513525561.

LCM(59267,59283) = 3513525561

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Least Common Multiple of 59267 and 59283 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 59283, than apply into the LCM equation.

GCF(59267,59283) = 1
LCM(59267,59283) = ( 59267 × 59283) / 1
LCM(59267,59283) = 3513525561 / 1
LCM(59267,59283) = 3513525561

Least Common Multiple (LCM) of 59267 and 59283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59267 and 59283. First we will calculate the prime factors of 59267 and 59283.

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 59283

Prime factors of 59283 are 3, 7, 941. Prime factorization of 59283 in exponential form is:

59283 = 32 × 71 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 59267 and 59283.

LCM(59267,59283) = 131 × 471 × 971 × 32 × 71 × 9411
LCM(59267,59283) = 3513525561