Least Common Multiple of 5479 and 5485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5479 and 5485 the smallest integer that is 30052315 that is divisible by both numbers.

Least Common Multiple (LCM) of 5479 and 5485 is 30052315.

LCM(5479,5485) = 30052315

LCM of 5479 and 5485

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

LCM of:
and

Least Common Multiple of 5479 and 5485

LCM of 5479 and 5485 is 30052315

Least common multiple can be found by multiplying the highest exponent prime factors of 5479 and 5485. First we will calculate the prime factors of 5479 and 5485.

Prime Factorization of 5479


5479 5479
1

Prime factors of 5479 are 5479. Prime factorization of 5479 in exponential form is:

5479 = 54791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5479 and 5485.

LCM(5479,5485) = 51×10971×54791
LCM(5479,5485) = 30052315

Factors of 5479

List of positive integer factors of 5479 that divides 5479 without a remainder.

1, 5479

Factors of 5485

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

1, 5, 1097, 5485

Least Common Multiple of 5479 and 5485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5479 and 5485, than apply into the LCM equation.

GCF(5479,5485) = 1
LCM(5479,5485) = ( 5479 × 5485) / 1
LCM(5479,5485) = 30052315 / 1
LCM(5479,5485) = 30052315

Properties of LCM 5479 and 5485

(i) The LCM of 5485 and 5479 is associative

LCM of 5479 and 5485 = LCM of 5485 and 5479

Related Least Common Multiples of 5479

Related Least Common Multiples of 5485

Frequently Asked Questions on LCM of 5479 and 5485

1. What is the LCM of 5479 and 5485?

Answer: LCM of 5479 and 5485 is 30052315.

2. What are the Factors of 5479?

Answer: Factors of 5479 are 1, 5479. There are 2 integers that are factors of 5479. The greatest factor of 5479 is 5479.

3. 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.

4. How to Find the LCM of 5479 and 5485?

Answer:

Least Common Multiple of 5479 and 5485 = 30052315

Step 1: Find the prime factorization of 5479

5479 = 5479

Step 2: Find the prime factorization of 5485

5485 = 5 x 1097

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

LCM = 30052315 = 5 x 1097 x 5479

Step 4: Therefore, the least common multiple of 5479 and 5485 is 30052315.