Least Common Multiple of 5490 and 5495

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 5495 the smallest integer that is 6033510 that is divisible by both numbers.

Least Common Multiple (LCM) of 5490 and 5495 is 6033510.

LCM(5490,5495) = 6033510

LCM of 5490 and 5495

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

LCM of:
and

Least Common Multiple of 5490 and 5495

LCM of 5490 and 5495 is 6033510

Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5495. First we will calculate the prime factors of 5490 and 5495.

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 5495


5 5495
7 1099
157 157
1

Prime factors of 5495 are 5, 7,157. Prime factorization of 5495 in exponential form is:

5495 = 51×71×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5495.

LCM(5490,5495) = 21×32×51×71×611×1571
LCM(5490,5495) = 6033510

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 5495

List of positive integer factors of 5495 that divides 5495 without a remainder.

1, 5, 7, 35, 157, 785, 1099, 5495

Least Common Multiple of 5490 and 5495 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 5495, than apply into the LCM equation.

GCF(5490,5495) = 5
LCM(5490,5495) = ( 5490 × 5495) / 5
LCM(5490,5495) = 30167550 / 5
LCM(5490,5495) = 6033510

Properties of LCM 5490 and 5495

(i) The LCM of 5495 and 5490 is associative

LCM of 5490 and 5495 = LCM of 5495 and 5490

Related Least Common Multiples of 5490

Related Least Common Multiples of 5495

Frequently Asked Questions on LCM of 5490 and 5495

1. What is the LCM of 5490 and 5495?

Answer: LCM of 5490 and 5495 is 6033510.

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 5495?

Answer: Factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495. There are 8 integers that are factors of 5495. The greatest factor of 5495 is 5495.

4. How to Find the LCM of 5490 and 5495?

Answer:

Least Common Multiple of 5490 and 5495 = 6033510

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 5495

5495 = 5 x 7 x 157

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

LCM = 6033510 = 2 x 3 x 3 x 5 x 7 x 61 x 157

Step 4: Therefore, the least common multiple of 5490 and 5495 is 6033510.