Least Common Multiple of 5473 and 5478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5473 and 5478 the smallest integer that is 29981094 that is divisible by both numbers.

Least Common Multiple (LCM) of 5473 and 5478 is 29981094.

LCM(5473,5478) = 29981094

LCM of 5473 and 5478

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

LCM of:
and

Least Common Multiple of 5473 and 5478

LCM of 5473 and 5478 is 29981094

Least common multiple can be found by multiplying the highest exponent prime factors of 5473 and 5478. First we will calculate the prime factors of 5473 and 5478.

Prime Factorization of 5473


13 5473
421 421
1

Prime factors of 5473 are 13,421. Prime factorization of 5473 in exponential form is:

5473 = 131×4211

Prime Factorization of 5478


2 5478
3 2739
11 913
83 83
1

Prime factors of 5478 are 2, 3, 11,83. Prime factorization of 5478 in exponential form is:

5478 = 21×31×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5473 and 5478.

LCM(5473,5478) = 21×31×111×131×831×4211
LCM(5473,5478) = 29981094

Factors of 5473

List of positive integer factors of 5473 that divides 5473 without a remainder.

1, 13, 421, 5473

Factors of 5478

List of positive integer factors of 5478 that divides 5478 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478

Least Common Multiple of 5473 and 5478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5473 and 5478, than apply into the LCM equation.

GCF(5473,5478) = 1
LCM(5473,5478) = ( 5473 × 5478) / 1
LCM(5473,5478) = 29981094 / 1
LCM(5473,5478) = 29981094

Properties of LCM 5473 and 5478

(i) The LCM of 5478 and 5473 is associative

LCM of 5473 and 5478 = LCM of 5478 and 5473

Related Least Common Multiples of 5473

Related Least Common Multiples of 5478

Frequently Asked Questions on LCM of 5473 and 5478

1. What is the LCM of 5473 and 5478?

Answer: LCM of 5473 and 5478 is 29981094.

2. What are the Factors of 5473?

Answer: Factors of 5473 are 1, 13, 421, 5473. There are 4 integers that are factors of 5473. The greatest factor of 5473 is 5473.

3. What are the Factors of 5478?

Answer: Factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478. There are 16 integers that are factors of 5478. The greatest factor of 5478 is 5478.

4. How to Find the LCM of 5473 and 5478?

Answer:

Least Common Multiple of 5473 and 5478 = 29981094

Step 1: Find the prime factorization of 5473

5473 = 13 x 421

Step 2: Find the prime factorization of 5478

5478 = 2 x 3 x 11 x 83

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

LCM = 29981094 = 2 x 3 x 11 x 13 x 83 x 421

Step 4: Therefore, the least common multiple of 5473 and 5478 is 29981094.