Least Common Multiple of 5486 and 5490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5486 and 5490 the smallest integer that is 15059070 that is divisible by both numbers.

Least Common Multiple (LCM) of 5486 and 5490 is 15059070.

LCM(5486,5490) = 15059070

LCM of 5486 and 5490

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

LCM of:
and

Least Common Multiple of 5486 and 5490

LCM of 5486 and 5490 is 15059070

Least common multiple can be found by multiplying the highest exponent prime factors of 5486 and 5490. First we will calculate the prime factors of 5486 and 5490.

Prime Factorization of 5486


2 5486
13 2743
211 211
1

Prime factors of 5486 are 2, 13,211. Prime factorization of 5486 in exponential form is:

5486 = 21×131×2111

Prime Factorization of 5490


2 5490
3 2745
3 915
5 305
61 61
1

Prime factors of 5490 are 2, 3, 5,61. Prime factorization of 5490 in exponential form is:

5490 = 21×32×51×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5486 and 5490.

LCM(5486,5490) = 21×32×51×131×611×2111
LCM(5486,5490) = 15059070

Factors of 5486

List of positive integer factors of 5486 that divides 5486 without a remainder.

1, 2, 13, 26, 211, 422, 2743, 5486

Factors of 5490

List of positive integer factors of 5490 that divides 5490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490

Least Common Multiple of 5486 and 5490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5486 and 5490, than apply into the LCM equation.

GCF(5486,5490) = 2
LCM(5486,5490) = ( 5486 × 5490) / 2
LCM(5486,5490) = 30118140 / 2
LCM(5486,5490) = 15059070

Properties of LCM 5486 and 5490

(i) The LCM of 5490 and 5486 is associative

LCM of 5486 and 5490 = LCM of 5490 and 5486

Related Least Common Multiples of 5486

Related Least Common Multiples of 5490

Frequently Asked Questions on LCM of 5486 and 5490

1. What is the LCM of 5486 and 5490?

Answer: LCM of 5486 and 5490 is 15059070.

2. What are the Factors of 5486?

Answer: Factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486. There are 8 integers that are factors of 5486. The greatest factor of 5486 is 5486.

3. What are the Factors of 5490?

Answer: Factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490. There are 24 integers that are factors of 5490. The greatest factor of 5490 is 5490.

4. How to Find the LCM of 5486 and 5490?

Answer:

Least Common Multiple of 5486 and 5490 = 15059070

Step 1: Find the prime factorization of 5486

5486 = 2 x 13 x 211

Step 2: Find the prime factorization of 5490

5490 = 2 x 3 x 3 x 5 x 61

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

LCM = 15059070 = 2 x 3 x 3 x 5 x 13 x 61 x 211

Step 4: Therefore, the least common multiple of 5486 and 5490 is 15059070.