Least Common Multiple of 5490 and 5494

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 5494 the smallest integer that is 15081030 that is divisible by both numbers.

Least Common Multiple (LCM) of 5490 and 5494 is 15081030.

LCM(5490,5494) = 15081030

LCM of 5490 and 5494

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

LCM of:
and

Least Common Multiple of 5490 and 5494

LCM of 5490 and 5494 is 15081030

Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5494. First we will calculate the prime factors of 5490 and 5494.

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 5494


2 5494
41 2747
67 67
1

Prime factors of 5494 are 2, 41,67. Prime factorization of 5494 in exponential form is:

5494 = 21×411×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5494.

LCM(5490,5494) = 21×32×51×411×611×671
LCM(5490,5494) = 15081030

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 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1, 2, 41, 67, 82, 134, 2747, 5494

Least Common Multiple of 5490 and 5494 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 5494, than apply into the LCM equation.

GCF(5490,5494) = 2
LCM(5490,5494) = ( 5490 × 5494) / 2
LCM(5490,5494) = 30162060 / 2
LCM(5490,5494) = 15081030

Properties of LCM 5490 and 5494

(i) The LCM of 5494 and 5490 is associative

LCM of 5490 and 5494 = LCM of 5494 and 5490

Related Least Common Multiples of 5490

Related Least Common Multiples of 5494

Frequently Asked Questions on LCM of 5490 and 5494

1. What is the LCM of 5490 and 5494?

Answer: LCM of 5490 and 5494 is 15081030.

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 5494?

Answer: Factors of 5494 are 1, 2, 41, 67, 82, 134, 2747, 5494. There are 8 integers that are factors of 5494. The greatest factor of 5494 is 5494.

4. How to Find the LCM of 5490 and 5494?

Answer:

Least Common Multiple of 5490 and 5494 = 15081030

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 5494

5494 = 2 x 41 x 67

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

LCM = 15081030 = 2 x 3 x 3 x 5 x 41 x 61 x 67

Step 4: Therefore, the least common multiple of 5490 and 5494 is 15081030.