Least Common Multiple of 5372 and 5380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5372 and 5380 the smallest integer that is 7225340 that is divisible by both numbers.

Least Common Multiple (LCM) of 5372 and 5380 is 7225340.

LCM(5372,5380) = 7225340

LCM of 5372 and 5380

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

LCM of:
and

Least Common Multiple of 5372 and 5380

LCM of 5372 and 5380 is 7225340

Least common multiple can be found by multiplying the highest exponent prime factors of 5372 and 5380. First we will calculate the prime factors of 5372 and 5380.

Prime Factorization of 5372


2 5372
2 2686
17 1343
79 79
1

Prime factors of 5372 are 2, 17,79. Prime factorization of 5372 in exponential form is:

5372 = 22×171×791

Prime Factorization of 5380


2 5380
2 2690
5 1345
269 269
1

Prime factors of 5380 are 2, 5,269. Prime factorization of 5380 in exponential form is:

5380 = 22×51×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 5372 and 5380.

LCM(5372,5380) = 22×51×171×791×2691
LCM(5372,5380) = 7225340

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372

Factors of 5380

List of positive integer factors of 5380 that divides 5380 without a remainder.

1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380

Least Common Multiple of 5372 and 5380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5372 and 5380, than apply into the LCM equation.

GCF(5372,5380) = 4
LCM(5372,5380) = ( 5372 × 5380) / 4
LCM(5372,5380) = 28901360 / 4
LCM(5372,5380) = 7225340

Properties of LCM 5372 and 5380

(i) The LCM of 5380 and 5372 is associative

LCM of 5372 and 5380 = LCM of 5380 and 5372

Related Least Common Multiples of 5372

Related Least Common Multiples of 5380

Frequently Asked Questions on LCM of 5372 and 5380

1. What is the LCM of 5372 and 5380?

Answer: LCM of 5372 and 5380 is 7225340.

2. What are the Factors of 5372?

Answer: Factors of 5372 are 1, 2, 4, 17, 34, 68, 79, 158, 316, 1343, 2686, 5372. There are 12 integers that are factors of 5372. The greatest factor of 5372 is 5372.

3. What are the Factors of 5380?

Answer: Factors of 5380 are 1, 2, 4, 5, 10, 20, 269, 538, 1076, 1345, 2690, 5380. There are 12 integers that are factors of 5380. The greatest factor of 5380 is 5380.

4. How to Find the LCM of 5372 and 5380?

Answer:

Least Common Multiple of 5372 and 5380 = 7225340

Step 1: Find the prime factorization of 5372

5372 = 2 x 2 x 17 x 79

Step 2: Find the prime factorization of 5380

5380 = 2 x 2 x 5 x 269

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

LCM = 7225340 = 2 x 2 x 5 x 17 x 79 x 269

Step 4: Therefore, the least common multiple of 5372 and 5380 is 7225340.