Least Common Multiple of 8488 and 8495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8488 and 8495 the smallest integer that is 72105560 that is divisible by both numbers.

Least Common Multiple (LCM) of 8488 and 8495 is 72105560.

LCM(8488,8495) = 72105560

LCM of 8488 and 8495

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 8488 and 8495

LCM of 8488 and 8495 is 72105560

Least common multiple can be found by multiplying the highest exponent prime factors of 8488 and 8495. First we will calculate the prime factors of 8488 and 8495.

Prime Factorization of 8488


2 8488
2 4244
2 2122
1061 1061
1

Prime factors of 8488 are 2,1061. Prime factorization of 8488 in exponential form is:

8488 = 23×10611

Prime Factorization of 8495


5 8495
1699 1699
1

Prime factors of 8495 are 5,1699. Prime factorization of 8495 in exponential form is:

8495 = 51×16991

Now multiplying the highest exponent prime factors to calculate the LCM of 8488 and 8495.

LCM(8488,8495) = 23×51×10611×16991
LCM(8488,8495) = 72105560

Factors of 8488

List of positive integer factors of 8488 that divides 8488 without a remainder.

1, 2, 4, 8, 1061, 2122, 4244, 8488

Factors of 8495

List of positive integer factors of 8495 that divides 8495 without a remainder.

1, 5, 1699, 8495

Least Common Multiple of 8488 and 8495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8488 and 8495, than apply into the LCM equation.

GCF(8488,8495) = 1
LCM(8488,8495) = ( 8488 × 8495) / 1
LCM(8488,8495) = 72105560 / 1
LCM(8488,8495) = 72105560

Properties of LCM 8488 and 8495

(i) The LCM of 8495 and 8488 is associative

LCM of 8488 and 8495 = LCM of 8495 and 8488

Related Least Common Multiples of 8488

Related Least Common Multiples of 8495

Frequently Asked Questions on LCM of 8488 and 8495

1. What is the LCM of 8488 and 8495?

Answer: LCM of 8488 and 8495 is 72105560.

2. What are the Factors of 8488?

Answer: Factors of 8488 are 1, 2, 4, 8, 1061, 2122, 4244, 8488. There are 8 integers that are factors of 8488. The greatest factor of 8488 is 8488.

3. What are the Factors of 8495?

Answer: Factors of 8495 are 1, 5, 1699, 8495. There are 4 integers that are factors of 8495. The greatest factor of 8495 is 8495.

4. How to Find the LCM of 8488 and 8495?

Answer:

Least Common Multiple of 8488 and 8495 = 72105560

Step 1: Find the prime factorization of 8488

8488 = 2 x 2 x 2 x 1061

Step 2: Find the prime factorization of 8495

8495 = 5 x 1699

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 72105560 = 2 x 2 x 2 x 5 x 1061 x 1699

Step 4: Therefore, the least common multiple of 8488 and 8495 is 72105560.