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What is the Least Common Multiple of 8635 and 8648?

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 8635 and 8648 is 74675480.

LCM(8635,8648) = 74675480

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Least Common Multiple of 8635 and 8648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8635 and 8648, than apply into the LCM equation.

GCF(8635,8648) = 1
LCM(8635,8648) = ( 8635 × 8648) / 1
LCM(8635,8648) = 74675480 / 1
LCM(8635,8648) = 74675480

Least Common Multiple (LCM) of 8635 and 8648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8635 and 8648. First we will calculate the prime factors of 8635 and 8648.

Prime Factorization of 8635

Prime factors of 8635 are 5, 11, 157. Prime factorization of 8635 in exponential form is:

8635 = 51 × 111 × 1571

Prime Factorization of 8648

Prime factors of 8648 are 2, 23, 47. Prime factorization of 8648 in exponential form is:

8648 = 23 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 8635 and 8648.

LCM(8635,8648) = 51 × 111 × 1571 × 23 × 231 × 471
LCM(8635,8648) = 74675480