Least Common Multiple of 5464 and 5472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5464 and 5472 the smallest integer that is 3737376 that is divisible by both numbers.

Least Common Multiple (LCM) of 5464 and 5472 is 3737376.

LCM(5464,5472) = 3737376

LCM of 5464 and 5472

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

LCM of:
and

Least Common Multiple of 5464 and 5472

LCM of 5464 and 5472 is 3737376

Least common multiple can be found by multiplying the highest exponent prime factors of 5464 and 5472. First we will calculate the prime factors of 5464 and 5472.

Prime Factorization of 5464


2 5464
2 2732
2 1366
683 683
1

Prime factors of 5464 are 2,683. Prime factorization of 5464 in exponential form is:

5464 = 23×6831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5464 and 5472.

LCM(5464,5472) = 25×32×191×6831
LCM(5464,5472) = 3737376

Factors of 5464

List of positive integer factors of 5464 that divides 5464 without a remainder.

1, 2, 4, 8, 683, 1366, 2732, 5464

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

Least Common Multiple of 5464 and 5472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5464 and 5472, than apply into the LCM equation.

GCF(5464,5472) = 8
LCM(5464,5472) = ( 5464 × 5472) / 8
LCM(5464,5472) = 29899008 / 8
LCM(5464,5472) = 3737376

Properties of LCM 5464 and 5472

(i) The LCM of 5472 and 5464 is associative

LCM of 5464 and 5472 = LCM of 5472 and 5464

Related Least Common Multiples of 5464

Related Least Common Multiples of 5472

Frequently Asked Questions on LCM of 5464 and 5472

1. What is the LCM of 5464 and 5472?

Answer: LCM of 5464 and 5472 is 3737376.

2. What are the Factors of 5464?

Answer: Factors of 5464 are 1, 2, 4, 8, 683, 1366, 2732, 5464. There are 8 integers that are factors of 5464. The greatest factor of 5464 is 5464.

3. 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.

4. How to Find the LCM of 5464 and 5472?

Answer:

Least Common Multiple of 5464 and 5472 = 3737376

Step 1: Find the prime factorization of 5464

5464 = 2 x 2 x 2 x 683

Step 2: Find the prime factorization of 5472

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

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

LCM = 3737376 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 19 x 683

Step 4: Therefore, the least common multiple of 5464 and 5472 is 3737376.