Least Common Multiple of 371 and 374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 371 and 374 the smallest integer that is 138754 that is divisible by both numbers.

Least Common Multiple (LCM) of 371 and 374 is 138754.

LCM(371,374) = 138754

LCM of 371 and 374

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

LCM of:
and

Least Common Multiple of 371 and 374

LCM of 371 and 374 is 138754

Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 374. First we will calculate the prime factors of 371 and 374.

Prime Factorization of 371


7 371
53 53
1

Prime factors of 371 are 7,53. Prime factorization of 371 in exponential form is:

371 = 71×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 374.

LCM(371,374) = 21×71×111×171×531
LCM(371,374) = 138754

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Factors of 374

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

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

Least Common Multiple of 371 and 374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 371 and 374, than apply into the LCM equation.

GCF(371,374) = 1
LCM(371,374) = ( 371 × 374) / 1
LCM(371,374) = 138754 / 1
LCM(371,374) = 138754

Properties of LCM 371 and 374

(i) The LCM of 374 and 371 is associative

LCM of 371 and 374 = LCM of 374 and 371

Related Least Common Multiples of 371

Related Least Common Multiples of 374

Frequently Asked Questions on LCM of 371 and 374

1. What is the LCM of 371 and 374?

Answer: LCM of 371 and 374 is 138754.

2. What are the Factors of 371?

Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.

3. 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.

4. How to Find the LCM of 371 and 374?

Answer:

Least Common Multiple of 371 and 374 = 138754

Step 1: Find the prime factorization of 371

371 = 7 x 53

Step 2: Find the prime factorization of 374

374 = 2 x 11 x 17

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

LCM = 138754 = 2 x 7 x 11 x 17 x 53

Step 4: Therefore, the least common multiple of 371 and 374 is 138754.