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What is the Least Common Multiple of 599 and 613?

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 599 and 613 is 367187.

LCM(599,613) = 367187

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Least Common Multiple of 599 and 613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 599 and 613, than apply into the LCM equation.

GCF(599,613) = 1
LCM(599,613) = ( 599 × 613) / 1
LCM(599,613) = 367187 / 1
LCM(599,613) = 367187

Least Common Multiple (LCM) of 599 and 613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 599 and 613. First we will calculate the prime factors of 599 and 613.

Prime Factorization of 599

Prime factors of 599 are 599. Prime factorization of 599 in exponential form is:

599 = 5991

Prime Factorization of 613

Prime factors of 613 are 613. Prime factorization of 613 in exponential form is:

613 = 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 599 and 613.

LCM(599,613) = 5991 × 6131
LCM(599,613) = 367187