Least Common Multiple of 5476 and 5480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5476 and 5480 the smallest integer that is 7502120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5476 and 5480 is 7502120.

LCM(5476,5480) = 7502120

LCM of 5476 and 5480

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

LCM of:
and

Least Common Multiple of 5476 and 5480

LCM of 5476 and 5480 is 7502120

Least common multiple can be found by multiplying the highest exponent prime factors of 5476 and 5480. First we will calculate the prime factors of 5476 and 5480.

Prime Factorization of 5476


2 5476
2 2738
37 1369
37 37
1

Prime factors of 5476 are 2,37. Prime factorization of 5476 in exponential form is:

5476 = 22×372

Prime Factorization of 5480


2 5480
2 2740
2 1370
5 685
137 137
1

Prime factors of 5480 are 2, 5,137. Prime factorization of 5480 in exponential form is:

5480 = 23×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5476 and 5480.

LCM(5476,5480) = 23×51×372×1371
LCM(5476,5480) = 7502120

Factors of 5476

List of positive integer factors of 5476 that divides 5476 without a remainder.

1, 2, 4, 37, 74, 148, 1369, 2738, 5476

Factors of 5480

List of positive integer factors of 5480 that divides 5480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480

Least Common Multiple of 5476 and 5480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5476 and 5480, than apply into the LCM equation.

GCF(5476,5480) = 4
LCM(5476,5480) = ( 5476 × 5480) / 4
LCM(5476,5480) = 30008480 / 4
LCM(5476,5480) = 7502120

Properties of LCM 5476 and 5480

(i) The LCM of 5480 and 5476 is associative

LCM of 5476 and 5480 = LCM of 5480 and 5476

Related Least Common Multiples of 5476

Related Least Common Multiples of 5480

Frequently Asked Questions on LCM of 5476 and 5480

1. What is the LCM of 5476 and 5480?

Answer: LCM of 5476 and 5480 is 7502120.

2. What are the Factors of 5476?

Answer: Factors of 5476 are 1, 2, 4, 37, 74, 148, 1369, 2738, 5476. There are 9 integers that are factors of 5476. The greatest factor of 5476 is 5476.

3. What are the Factors of 5480?

Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.

4. How to Find the LCM of 5476 and 5480?

Answer:

Least Common Multiple of 5476 and 5480 = 7502120

Step 1: Find the prime factorization of 5476

5476 = 2 x 2 x 37 x 37

Step 2: Find the prime factorization of 5480

5480 = 2 x 2 x 2 x 5 x 137

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

LCM = 7502120 = 2 x 2 x 2 x 5 x 37 x 37 x 137

Step 4: Therefore, the least common multiple of 5476 and 5480 is 7502120.