Least Common Multiple of 375 and 383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 375 and 383 the smallest integer that is 143625 that is divisible by both numbers.

Least Common Multiple (LCM) of 375 and 383 is 143625.

LCM(375,383) = 143625

LCM of 375 and 383

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

LCM of:
and

Least Common Multiple of 375 and 383

LCM of 375 and 383 is 143625

Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 383. First we will calculate the prime factors of 375 and 383.

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

Prime Factorization of 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 383.

LCM(375,383) = 31×53×3831
LCM(375,383) = 143625

Factors of 375

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

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

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

Least Common Multiple of 375 and 383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 375 and 383, than apply into the LCM equation.

GCF(375,383) = 1
LCM(375,383) = ( 375 × 383) / 1
LCM(375,383) = 143625 / 1
LCM(375,383) = 143625

Properties of LCM 375 and 383

(i) The LCM of 383 and 375 is associative

LCM of 375 and 383 = LCM of 383 and 375

Related Least Common Multiples of 375

Related Least Common Multiples of 383

Frequently Asked Questions on LCM of 375 and 383

1. What is the LCM of 375 and 383?

Answer: LCM of 375 and 383 is 143625.

2. 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.

3. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

4. How to Find the LCM of 375 and 383?

Answer:

Least Common Multiple of 375 and 383 = 143625

Step 1: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 383

383 = 383

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

LCM = 143625 = 3 x 5 x 5 x 5 x 383

Step 4: Therefore, the least common multiple of 375 and 383 is 143625.