Least Common Multiple of 5472 and 5479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5472 and 5479 the smallest integer that is 29981088 that is divisible by both numbers.

Least Common Multiple (LCM) of 5472 and 5479 is 29981088.

LCM(5472,5479) = 29981088

LCM of 5472 and 5479

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

LCM of:
and

Least Common Multiple of 5472 and 5479

LCM of 5472 and 5479 is 29981088

Least common multiple can be found by multiplying the highest exponent prime factors of 5472 and 5479. First we will calculate the prime factors of 5472 and 5479.

Prime Factorization of 5472


2 5472
2 2736
2 1368
2 684
2 342
3 171
3 57
19 19
1

Prime factors of 5472 are 2, 3,19. Prime factorization of 5472 in exponential form is:

5472 = 25×32×191

Prime Factorization of 5479


5479 5479
1

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

5479 = 54791

Now multiplying the highest exponent prime factors to calculate the LCM of 5472 and 5479.

LCM(5472,5479) = 25×32×191×54791
LCM(5472,5479) = 29981088

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472

Factors of 5479

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

1, 5479

Least Common Multiple of 5472 and 5479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5472 and 5479, than apply into the LCM equation.

GCF(5472,5479) = 1
LCM(5472,5479) = ( 5472 × 5479) / 1
LCM(5472,5479) = 29981088 / 1
LCM(5472,5479) = 29981088

Properties of LCM 5472 and 5479

(i) The LCM of 5479 and 5472 is associative

LCM of 5472 and 5479 = LCM of 5479 and 5472

Related Least Common Multiples of 5472

Related Least Common Multiples of 5479

Frequently Asked Questions on LCM of 5472 and 5479

1. What is the LCM of 5472 and 5479?

Answer: LCM of 5472 and 5479 is 29981088.

2. What are the Factors of 5472?

Answer: Factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472. There are 36 integers that are factors of 5472. The greatest factor of 5472 is 5472.

3. 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.

4. How to Find the LCM of 5472 and 5479?

Answer:

Least Common Multiple of 5472 and 5479 = 29981088

Step 1: Find the prime factorization of 5472

5472 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 5479

5479 = 5479

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

LCM = 29981088 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 5479

Step 4: Therefore, the least common multiple of 5472 and 5479 is 29981088.