Least Common Multiple of 370 and 375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 370 and 375 the smallest integer that is 27750 that is divisible by both numbers.

Least Common Multiple (LCM) of 370 and 375 is 27750.

LCM(370,375) = 27750

LCM of 370 and 375

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

LCM of:
and

Least Common Multiple of 370 and 375

LCM of 370 and 375 is 27750

Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 375. First we will calculate the prime factors of 370 and 375.

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

Prime Factorization of 375


3 375
5 125
5 25
5 5
1

Prime factors of 375 are 3,5. Prime factorization of 375 in exponential form is:

375 = 31×53

Now multiplying the highest exponent prime factors to calculate the LCM of 370 and 375.

LCM(370,375) = 21×31×53×371
LCM(370,375) = 27750

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Least Common Multiple of 370 and 375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 370 and 375, than apply into the LCM equation.

GCF(370,375) = 5
LCM(370,375) = ( 370 × 375) / 5
LCM(370,375) = 138750 / 5
LCM(370,375) = 27750

Properties of LCM 370 and 375

(i) The LCM of 375 and 370 is associative

LCM of 370 and 375 = LCM of 375 and 370

Related Least Common Multiples of 370

Related Least Common Multiples of 375

Frequently Asked Questions on LCM of 370 and 375

1. What is the LCM of 370 and 375?

Answer: LCM of 370 and 375 is 27750.

2. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

3. What are the Factors of 375?

Answer: Factors of 375 are 1, 3, 5, 15, 25, 75, 125, 375. There are 8 integers that are factors of 375. The greatest factor of 375 is 375.

4. How to Find the LCM of 370 and 375?

Answer:

Least Common Multiple of 370 and 375 = 27750

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

Step 2: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

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

LCM = 27750 = 2 x 3 x 5 x 5 x 5 x 37

Step 4: Therefore, the least common multiple of 370 and 375 is 27750.