Least Common Multiple of 5487 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 5487 and 5490 the smallest integer that is 10041210 that is divisible by both numbers.

Least Common Multiple (LCM) of 5487 and 5490 is 10041210.

LCM(5487,5490) = 10041210

LCM of 5487 and 5490

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

LCM of:
and

Least Common Multiple of 5487 and 5490

LCM of 5487 and 5490 is 10041210

Least common multiple can be found by multiplying the highest exponent prime factors of 5487 and 5490. First we will calculate the prime factors of 5487 and 5490.

Prime Factorization of 5487


3 5487
31 1829
59 59
1

Prime factors of 5487 are 3, 31,59. Prime factorization of 5487 in exponential form is:

5487 = 31×311×591

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 5487 and 5490.

LCM(5487,5490) = 21×32×51×311×591×611
LCM(5487,5490) = 10041210

Factors of 5487

List of positive integer factors of 5487 that divides 5487 without a remainder.

1, 3, 31, 59, 93, 177, 1829, 5487

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 5487 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 5487 and 5490, than apply into the LCM equation.

GCF(5487,5490) = 3
LCM(5487,5490) = ( 5487 × 5490) / 3
LCM(5487,5490) = 30123630 / 3
LCM(5487,5490) = 10041210

Properties of LCM 5487 and 5490

(i) The LCM of 5490 and 5487 is associative

LCM of 5487 and 5490 = LCM of 5490 and 5487

Related Least Common Multiples of 5487

Related Least Common Multiples of 5490

Frequently Asked Questions on LCM of 5487 and 5490

1. What is the LCM of 5487 and 5490?

Answer: LCM of 5487 and 5490 is 10041210.

2. What are the Factors of 5487?

Answer: Factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487. There are 8 integers that are factors of 5487. The greatest factor of 5487 is 5487.

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 5487 and 5490?

Answer:

Least Common Multiple of 5487 and 5490 = 10041210

Step 1: Find the prime factorization of 5487

5487 = 3 x 31 x 59

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 = 10041210 = 2 x 3 x 3 x 5 x 31 x 59 x 61

Step 4: Therefore, the least common multiple of 5487 and 5490 is 10041210.