Least Common Multiple of 374 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 374 and 375 the smallest integer that is 140250 that is divisible by both numbers.

Least Common Multiple (LCM) of 374 and 375 is 140250.

LCM(374,375) = 140250

LCM of 374 and 375

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

LCM of:
and

Least Common Multiple of 374 and 375

LCM of 374 and 375 is 140250

Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 375. First we will calculate the prime factors of 374 and 375.

Prime Factorization of 374


2 374
11 187
17 17
1

Prime factors of 374 are 2, 11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

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 374 and 375.

LCM(374,375) = 21×31×53×111×171
LCM(374,375) = 140250

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 374 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 374 and 375, than apply into the LCM equation.

GCF(374,375) = 1
LCM(374,375) = ( 374 × 375) / 1
LCM(374,375) = 140250 / 1
LCM(374,375) = 140250

Properties of LCM 374 and 375

(i) The LCM of 375 and 374 is associative

LCM of 374 and 375 = LCM of 375 and 374

Related Least Common Multiples of 374

Related Least Common Multiples of 375

Frequently Asked Questions on LCM of 374 and 375

1. What is the LCM of 374 and 375?

Answer: LCM of 374 and 375 is 140250.

2. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

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 374 and 375?

Answer:

Least Common Multiple of 374 and 375 = 140250

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

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 = 140250 = 2 x 3 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 374 and 375 is 140250.