Least Common Multiple of 8490 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 8490 and 8494 the smallest integer that is 36057030 that is divisible by both numbers.

Least Common Multiple (LCM) of 8490 and 8494 is 36057030.

LCM(8490,8494) = 36057030

LCM of 8490 and 8494

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

LCM of:
and

Least Common Multiple of 8490 and 8494

LCM of 8490 and 8494 is 36057030

Least common multiple can be found by multiplying the highest exponent prime factors of 8490 and 8494. First we will calculate the prime factors of 8490 and 8494.

Prime Factorization of 8490


2 8490
3 4245
5 1415
283 283
1

Prime factors of 8490 are 2, 3, 5,283. Prime factorization of 8490 in exponential form is:

8490 = 21×31×51×2831

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 8490 and 8494.

LCM(8490,8494) = 21×31×51×311×1371×2831
LCM(8490,8494) = 36057030

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490

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 8490 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 8490 and 8494, than apply into the LCM equation.

GCF(8490,8494) = 2
LCM(8490,8494) = ( 8490 × 8494) / 2
LCM(8490,8494) = 72114060 / 2
LCM(8490,8494) = 36057030

Properties of LCM 8490 and 8494

(i) The LCM of 8494 and 8490 is associative

LCM of 8490 and 8494 = LCM of 8494 and 8490

Related Least Common Multiples of 8490

Related Least Common Multiples of 8494

Frequently Asked Questions on LCM of 8490 and 8494

1. What is the LCM of 8490 and 8494?

Answer: LCM of 8490 and 8494 is 36057030.

2. What are the Factors of 8490?

Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.

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 8490 and 8494?

Answer:

Least Common Multiple of 8490 and 8494 = 36057030

Step 1: Find the prime factorization of 8490

8490 = 2 x 3 x 5 x 283

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 = 36057030 = 2 x 3 x 5 x 31 x 137 x 283

Step 4: Therefore, the least common multiple of 8490 and 8494 is 36057030.