Least Common Multiple of 373 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 373 and 375 the smallest integer that is 139875 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 375 is 139875.

LCM(373,375) = 139875

LCM of 373 and 375

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

LCM of:
and

Least Common Multiple of 373 and 375

LCM of 373 and 375 is 139875

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 375. First we will calculate the prime factors of 373 and 375.

Prime Factorization of 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

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 373 and 375.

LCM(373,375) = 31×53×3731
LCM(373,375) = 139875

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1, 373

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 373 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 373 and 375, than apply into the LCM equation.

GCF(373,375) = 1
LCM(373,375) = ( 373 × 375) / 1
LCM(373,375) = 139875 / 1
LCM(373,375) = 139875

Properties of LCM 373 and 375

(i) The LCM of 375 and 373 is associative

LCM of 373 and 375 = LCM of 375 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 375

Frequently Asked Questions on LCM of 373 and 375

1. What is the LCM of 373 and 375?

Answer: LCM of 373 and 375 is 139875.

2. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

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 373 and 375?

Answer:

Least Common Multiple of 373 and 375 = 139875

Step 1: Find the prime factorization of 373

373 = 373

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 = 139875 = 3 x 5 x 5 x 5 x 373

Step 4: Therefore, the least common multiple of 373 and 375 is 139875.