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What is the Least Common Multiple of 8608 and 8613?

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 8608 and 8613 is 74140704.

LCM(8608,8613) = 74140704

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Least Common Multiple of 8608 and 8613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8608 and 8613, than apply into the LCM equation.

GCF(8608,8613) = 1
LCM(8608,8613) = ( 8608 × 8613) / 1
LCM(8608,8613) = 74140704 / 1
LCM(8608,8613) = 74140704

Least Common Multiple (LCM) of 8608 and 8613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8608 and 8613. First we will calculate the prime factors of 8608 and 8613.

Prime Factorization of 8608

Prime factors of 8608 are 2, 269. Prime factorization of 8608 in exponential form is:

8608 = 25 × 2691

Prime Factorization of 8613

Prime factors of 8613 are 3, 11, 29. Prime factorization of 8613 in exponential form is:

8613 = 33 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 8608 and 8613.

LCM(8608,8613) = 25 × 2691 × 33 × 111 × 291
LCM(8608,8613) = 74140704