Least Common Multiple of 375 and 379

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 379 the smallest integer that is 142125 that is divisible by both numbers.

Least Common Multiple (LCM) of 375 and 379 is 142125.

LCM(375,379) = 142125

LCM of 375 and 379

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

LCM of:
and

Least Common Multiple of 375 and 379

LCM of 375 and 379 is 142125

Least common multiple can be found by multiplying the highest exponent prime factors of 375 and 379. First we will calculate the prime factors of 375 and 379.

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 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 375 and 379.

LCM(375,379) = 31×53×3791
LCM(375,379) = 142125

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 379

List of positive integer factors of 379 that divides 379 without a remainder.

1, 379

Least Common Multiple of 375 and 379 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 379, than apply into the LCM equation.

GCF(375,379) = 1
LCM(375,379) = ( 375 × 379) / 1
LCM(375,379) = 142125 / 1
LCM(375,379) = 142125

Properties of LCM 375 and 379

(i) The LCM of 379 and 375 is associative

LCM of 375 and 379 = LCM of 379 and 375

Related Least Common Multiples of 375

Related Least Common Multiples of 379

Frequently Asked Questions on LCM of 375 and 379

1. What is the LCM of 375 and 379?

Answer: LCM of 375 and 379 is 142125.

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 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

4. How to Find the LCM of 375 and 379?

Answer:

Least Common Multiple of 375 and 379 = 142125

Step 1: Find the prime factorization of 375

375 = 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 379

379 = 379

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

LCM = 142125 = 3 x 5 x 5 x 5 x 379

Step 4: Therefore, the least common multiple of 375 and 379 is 142125.