Least Common Multiple of 7370 and 7375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7370 and 7375 the smallest integer that is 10870750 that is divisible by both numbers.

Least Common Multiple (LCM) of 7370 and 7375 is 10870750.

LCM(7370,7375) = 10870750

LCM of 7370 and 7375

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

LCM of:
and

Least Common Multiple of 7370 and 7375

LCM of 7370 and 7375 is 10870750

Least common multiple can be found by multiplying the highest exponent prime factors of 7370 and 7375. First we will calculate the prime factors of 7370 and 7375.

Prime Factorization of 7370


2 7370
5 3685
11 737
67 67
1

Prime factors of 7370 are 2, 5, 11,67. Prime factorization of 7370 in exponential form is:

7370 = 21×51×111×671

Prime Factorization of 7375


5 7375
5 1475
5 295
59 59
1

Prime factors of 7375 are 5,59. Prime factorization of 7375 in exponential form is:

7375 = 53×591

Now multiplying the highest exponent prime factors to calculate the LCM of 7370 and 7375.

LCM(7370,7375) = 21×53×111×591×671
LCM(7370,7375) = 10870750

Factors of 7370

List of positive integer factors of 7370 that divides 7370 without a remainder.

1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370

Factors of 7375

List of positive integer factors of 7375 that divides 7375 without a remainder.

1, 5, 25, 59, 125, 295, 1475, 7375

Least Common Multiple of 7370 and 7375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7370 and 7375, than apply into the LCM equation.

GCF(7370,7375) = 5
LCM(7370,7375) = ( 7370 × 7375) / 5
LCM(7370,7375) = 54353750 / 5
LCM(7370,7375) = 10870750

Properties of LCM 7370 and 7375

(i) The LCM of 7375 and 7370 is associative

LCM of 7370 and 7375 = LCM of 7375 and 7370

Related Least Common Multiples of 7370

Related Least Common Multiples of 7375

Frequently Asked Questions on LCM of 7370 and 7375

1. What is the LCM of 7370 and 7375?

Answer: LCM of 7370 and 7375 is 10870750.

2. What are the Factors of 7370?

Answer: Factors of 7370 are 1, 2, 5, 10, 11, 22, 55, 67, 110, 134, 335, 670, 737, 1474, 3685, 7370. There are 16 integers that are factors of 7370. The greatest factor of 7370 is 7370.

3. What are the Factors of 7375?

Answer: Factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375. There are 8 integers that are factors of 7375. The greatest factor of 7375 is 7375.

4. How to Find the LCM of 7370 and 7375?

Answer:

Least Common Multiple of 7370 and 7375 = 10870750

Step 1: Find the prime factorization of 7370

7370 = 2 x 5 x 11 x 67

Step 2: Find the prime factorization of 7375

7375 = 5 x 5 x 5 x 59

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

LCM = 10870750 = 2 x 5 x 5 x 5 x 11 x 59 x 67

Step 4: Therefore, the least common multiple of 7370 and 7375 is 10870750.