Least Common Multiple of 368 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 368 and 375 the smallest integer that is 138000 that is divisible by both numbers.

Least Common Multiple (LCM) of 368 and 375 is 138000.

LCM(368,375) = 138000

LCM of 368 and 375

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

LCM of:
and

Least Common Multiple of 368 and 375

LCM of 368 and 375 is 138000

Least common multiple can be found by multiplying the highest exponent prime factors of 368 and 375. First we will calculate the prime factors of 368 and 375.

Prime Factorization of 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

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 368 and 375.

LCM(368,375) = 24×31×53×231
LCM(368,375) = 138000

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 368 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 368 and 375, than apply into the LCM equation.

GCF(368,375) = 1
LCM(368,375) = ( 368 × 375) / 1
LCM(368,375) = 138000 / 1
LCM(368,375) = 138000

Properties of LCM 368 and 375

(i) The LCM of 375 and 368 is associative

LCM of 368 and 375 = LCM of 375 and 368

Related Least Common Multiples of 368

Related Least Common Multiples of 375

Frequently Asked Questions on LCM of 368 and 375

1. What is the LCM of 368 and 375?

Answer: LCM of 368 and 375 is 138000.

2. What are the Factors of 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

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 368 and 375?

Answer:

Least Common Multiple of 368 and 375 = 138000

Step 1: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

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 = 138000 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 368 and 375 is 138000.