Least Common Multiple of 367 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 367 and 375 the smallest integer that is 137625 that is divisible by both numbers.

Least Common Multiple (LCM) of 367 and 375 is 137625.

LCM(367,375) = 137625

LCM of 367 and 375

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

LCM of:
and

Least Common Multiple of 367 and 375

LCM of 367 and 375 is 137625

Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 375. First we will calculate the prime factors of 367 and 375.

Prime Factorization of 367


367 367
1

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

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 367 and 375.

LCM(367,375) = 31×53×3671
LCM(367,375) = 137625

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1, 367

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 367 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 367 and 375, than apply into the LCM equation.

GCF(367,375) = 1
LCM(367,375) = ( 367 × 375) / 1
LCM(367,375) = 137625 / 1
LCM(367,375) = 137625

Properties of LCM 367 and 375

(i) The LCM of 375 and 367 is associative

LCM of 367 and 375 = LCM of 375 and 367

Related Least Common Multiples of 367

Related Least Common Multiples of 375

Frequently Asked Questions on LCM of 367 and 375

1. What is the LCM of 367 and 375?

Answer: LCM of 367 and 375 is 137625.

2. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

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 367 and 375?

Answer:

Least Common Multiple of 367 and 375 = 137625

Step 1: Find the prime factorization of 367

367 = 367

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 = 137625 = 3 x 5 x 5 x 5 x 367

Step 4: Therefore, the least common multiple of 367 and 375 is 137625.