Least Common Multiple of 5490 and 5498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5490 and 5498 the smallest integer that is 15092010 that is divisible by both numbers.

Least Common Multiple (LCM) of 5490 and 5498 is 15092010.

LCM(5490,5498) = 15092010

LCM of 5490 and 5498

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

LCM of:
and

Least Common Multiple of 5490 and 5498

LCM of 5490 and 5498 is 15092010

Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5498. First we will calculate the prime factors of 5490 and 5498.

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

Prime Factorization of 5498


2 5498
2749 2749
1

Prime factors of 5498 are 2,2749. Prime factorization of 5498 in exponential form is:

5498 = 21×27491

Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5498.

LCM(5490,5498) = 21×32×51×611×27491
LCM(5490,5498) = 15092010

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

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1, 2, 2749, 5498

Least Common Multiple of 5490 and 5498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5490 and 5498, than apply into the LCM equation.

GCF(5490,5498) = 2
LCM(5490,5498) = ( 5490 × 5498) / 2
LCM(5490,5498) = 30184020 / 2
LCM(5490,5498) = 15092010

Properties of LCM 5490 and 5498

(i) The LCM of 5498 and 5490 is associative

LCM of 5490 and 5498 = LCM of 5498 and 5490

Related Least Common Multiples of 5490

Related Least Common Multiples of 5498

Frequently Asked Questions on LCM of 5490 and 5498

1. What is the LCM of 5490 and 5498?

Answer: LCM of 5490 and 5498 is 15092010.

2. 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.

3. What are the Factors of 5498?

Answer: Factors of 5498 are 1, 2, 2749, 5498. There are 4 integers that are factors of 5498. The greatest factor of 5498 is 5498.

4. How to Find the LCM of 5490 and 5498?

Answer:

Least Common Multiple of 5490 and 5498 = 15092010

Step 1: Find the prime factorization of 5490

5490 = 2 x 3 x 3 x 5 x 61

Step 2: Find the prime factorization of 5498

5498 = 2 x 2749

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

LCM = 15092010 = 2 x 3 x 3 x 5 x 61 x 2749

Step 4: Therefore, the least common multiple of 5490 and 5498 is 15092010.