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What is the Least Common Multiple of 613 and 623?

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 613 and 623 is 381899.

LCM(613,623) = 381899

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Least Common Multiple of 613 and 623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 613 and 623, than apply into the LCM equation.

GCF(613,623) = 1
LCM(613,623) = ( 613 × 623) / 1
LCM(613,623) = 381899 / 1
LCM(613,623) = 381899

Least Common Multiple (LCM) of 613 and 623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 613 and 623. First we will calculate the prime factors of 613 and 623.

Prime Factorization of 613

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

613 = 6131

Prime Factorization of 623

Prime factors of 623 are 7, 89. Prime factorization of 623 in exponential form is:

623 = 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 613 and 623.

LCM(613,623) = 6131 × 71 × 891
LCM(613,623) = 381899