Least Common Multiple of 8488 and 8494

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 8494 the smallest integer that is 36048536 that is divisible by both numbers.

Least Common Multiple (LCM) of 8488 and 8494 is 36048536.

LCM(8488,8494) = 36048536

LCM of 8488 and 8494

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

LCM of:
and

Least Common Multiple of 8488 and 8494

LCM of 8488 and 8494 is 36048536

Least common multiple can be found by multiplying the highest exponent prime factors of 8488 and 8494. First we will calculate the prime factors of 8488 and 8494.

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 8494


2 8494
31 4247
137 137
1

Prime factors of 8494 are 2, 31,137. Prime factorization of 8494 in exponential form is:

8494 = 21×311×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8488 and 8494.

LCM(8488,8494) = 23×311×1371×10611
LCM(8488,8494) = 36048536

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 8494

List of positive integer factors of 8494 that divides 8494 without a remainder.

1, 2, 31, 62, 137, 274, 4247, 8494

Least Common Multiple of 8488 and 8494 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 8494, than apply into the LCM equation.

GCF(8488,8494) = 2
LCM(8488,8494) = ( 8488 × 8494) / 2
LCM(8488,8494) = 72097072 / 2
LCM(8488,8494) = 36048536

Properties of LCM 8488 and 8494

(i) The LCM of 8494 and 8488 is associative

LCM of 8488 and 8494 = LCM of 8494 and 8488

Related Least Common Multiples of 8488

Related Least Common Multiples of 8494

Frequently Asked Questions on LCM of 8488 and 8494

1. What is the LCM of 8488 and 8494?

Answer: LCM of 8488 and 8494 is 36048536.

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 8494?

Answer: Factors of 8494 are 1, 2, 31, 62, 137, 274, 4247, 8494. There are 8 integers that are factors of 8494. The greatest factor of 8494 is 8494.

4. How to Find the LCM of 8488 and 8494?

Answer:

Least Common Multiple of 8488 and 8494 = 36048536

Step 1: Find the prime factorization of 8488

8488 = 2 x 2 x 2 x 1061

Step 2: Find the prime factorization of 8494

8494 = 2 x 31 x 137

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

LCM = 36048536 = 2 x 2 x 2 x 31 x 137 x 1061

Step 4: Therefore, the least common multiple of 8488 and 8494 is 36048536.