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What is the Least Common Multiple of 8792 and 8810?

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 8792 and 8810 is 38728760.

LCM(8792,8810) = 38728760

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Least Common Multiple of 8792 and 8810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8792 and 8810, than apply into the LCM equation.

GCF(8792,8810) = 2
LCM(8792,8810) = ( 8792 × 8810) / 2
LCM(8792,8810) = 77457520 / 2
LCM(8792,8810) = 38728760

Least Common Multiple (LCM) of 8792 and 8810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8792 and 8810. First we will calculate the prime factors of 8792 and 8810.

Prime Factorization of 8792

Prime factors of 8792 are 2, 7, 157. Prime factorization of 8792 in exponential form is:

8792 = 23 × 71 × 1571

Prime Factorization of 8810

Prime factors of 8810 are 2, 5, 881. Prime factorization of 8810 in exponential form is:

8810 = 21 × 51 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 8792 and 8810.

LCM(8792,8810) = 23 × 71 × 1571 × 51 × 8811
LCM(8792,8810) = 38728760