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What is the Least Common Multiple of 59283 and 59287?

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 59283 and 59287 is 3514711221.

LCM(59283,59287) = 3514711221

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Least Common Multiple of 59283 and 59287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59283 and 59287, than apply into the LCM equation.

GCF(59283,59287) = 1
LCM(59283,59287) = ( 59283 × 59287) / 1
LCM(59283,59287) = 3514711221 / 1
LCM(59283,59287) = 3514711221

Least Common Multiple (LCM) of 59283 and 59287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59283 and 59287. First we will calculate the prime factors of 59283 and 59287.

Prime Factorization of 59283

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

59283 = 32 × 71 × 9411

Prime Factorization of 59287

Prime factors of 59287 are 101, 587. Prime factorization of 59287 in exponential form is:

59287 = 1011 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 59283 and 59287.

LCM(59283,59287) = 32 × 71 × 9411 × 1011 × 5871
LCM(59283,59287) = 3514711221