Least Common Multiple of 5370 and 5375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5370 and 5375 the smallest integer that is 5772750 that is divisible by both numbers.

Least Common Multiple (LCM) of 5370 and 5375 is 5772750.

LCM(5370,5375) = 5772750

LCM of 5370 and 5375

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

LCM of:
and

Least Common Multiple of 5370 and 5375

LCM of 5370 and 5375 is 5772750

Least common multiple can be found by multiplying the highest exponent prime factors of 5370 and 5375. First we will calculate the prime factors of 5370 and 5375.

Prime Factorization of 5370


2 5370
3 2685
5 895
179 179
1

Prime factors of 5370 are 2, 3, 5,179. Prime factorization of 5370 in exponential form is:

5370 = 21×31×51×1791

Prime Factorization of 5375


5 5375
5 1075
5 215
43 43
1

Prime factors of 5375 are 5,43. Prime factorization of 5375 in exponential form is:

5375 = 53×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5370 and 5375.

LCM(5370,5375) = 21×31×53×431×1791
LCM(5370,5375) = 5772750

Factors of 5370

List of positive integer factors of 5370 that divides 5370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1, 5, 25, 43, 125, 215, 1075, 5375

Least Common Multiple of 5370 and 5375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5370 and 5375, than apply into the LCM equation.

GCF(5370,5375) = 5
LCM(5370,5375) = ( 5370 × 5375) / 5
LCM(5370,5375) = 28863750 / 5
LCM(5370,5375) = 5772750

Properties of LCM 5370 and 5375

(i) The LCM of 5375 and 5370 is associative

LCM of 5370 and 5375 = LCM of 5375 and 5370

Related Least Common Multiples of 5370

Related Least Common Multiples of 5375

Frequently Asked Questions on LCM of 5370 and 5375

1. What is the LCM of 5370 and 5375?

Answer: LCM of 5370 and 5375 is 5772750.

2. What are the Factors of 5370?

Answer: Factors of 5370 are 1, 2, 3, 5, 6, 10, 15, 30, 179, 358, 537, 895, 1074, 1790, 2685, 5370. There are 16 integers that are factors of 5370. The greatest factor of 5370 is 5370.

3. What are the Factors of 5375?

Answer: Factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375. There are 8 integers that are factors of 5375. The greatest factor of 5375 is 5375.

4. How to Find the LCM of 5370 and 5375?

Answer:

Least Common Multiple of 5370 and 5375 = 5772750

Step 1: Find the prime factorization of 5370

5370 = 2 x 3 x 5 x 179

Step 2: Find the prime factorization of 5375

5375 = 5 x 5 x 5 x 43

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

LCM = 5772750 = 2 x 3 x 5 x 5 x 5 x 43 x 179

Step 4: Therefore, the least common multiple of 5370 and 5375 is 5772750.