Least Common Multiple of 5485 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 5485 and 5490 the smallest integer that is 6022530 that is divisible by both numbers.

Least Common Multiple (LCM) of 5485 and 5490 is 6022530.

LCM(5485,5490) = 6022530

LCM of 5485 and 5490

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

LCM of:
and

Least Common Multiple of 5485 and 5490

LCM of 5485 and 5490 is 6022530

Least common multiple can be found by multiplying the highest exponent prime factors of 5485 and 5490. First we will calculate the prime factors of 5485 and 5490.

Prime Factorization of 5485


5 5485
1097 1097
1

Prime factors of 5485 are 5,1097. Prime factorization of 5485 in exponential form is:

5485 = 51×10971

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 5485 and 5490.

LCM(5485,5490) = 21×32×51×611×10971
LCM(5485,5490) = 6022530

Factors of 5485

List of positive integer factors of 5485 that divides 5485 without a remainder.

1, 5, 1097, 5485

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 5485 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 5485 and 5490, than apply into the LCM equation.

GCF(5485,5490) = 5
LCM(5485,5490) = ( 5485 × 5490) / 5
LCM(5485,5490) = 30112650 / 5
LCM(5485,5490) = 6022530

Properties of LCM 5485 and 5490

(i) The LCM of 5490 and 5485 is associative

LCM of 5485 and 5490 = LCM of 5490 and 5485

Related Least Common Multiples of 5485

Related Least Common Multiples of 5490

Frequently Asked Questions on LCM of 5485 and 5490

1. What is the LCM of 5485 and 5490?

Answer: LCM of 5485 and 5490 is 6022530.

2. What are the Factors of 5485?

Answer: Factors of 5485 are 1, 5, 1097, 5485. There are 4 integers that are factors of 5485. The greatest factor of 5485 is 5485.

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 5485 and 5490?

Answer:

Least Common Multiple of 5485 and 5490 = 6022530

Step 1: Find the prime factorization of 5485

5485 = 5 x 1097

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 = 6022530 = 2 x 3 x 3 x 5 x 61 x 1097

Step 4: Therefore, the least common multiple of 5485 and 5490 is 6022530.