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What is the Least Common Multiple of 30601 and 30613?

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 30601 and 30613 is 936788413.

LCM(30601,30613) = 936788413

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Least Common Multiple of 30601 and 30613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30601 and 30613, than apply into the LCM equation.

GCF(30601,30613) = 1
LCM(30601,30613) = ( 30601 × 30613) / 1
LCM(30601,30613) = 936788413 / 1
LCM(30601,30613) = 936788413

Least Common Multiple (LCM) of 30601 and 30613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30601 and 30613. First we will calculate the prime factors of 30601 and 30613.

Prime Factorization of 30601

Prime factors of 30601 are 71, 431. Prime factorization of 30601 in exponential form is:

30601 = 711 × 4311

Prime Factorization of 30613

Prime factors of 30613 are 11, 23. Prime factorization of 30613 in exponential form is:

30613 = 113 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 30601 and 30613.

LCM(30601,30613) = 711 × 4311 × 113 × 231
LCM(30601,30613) = 936788413