Least Common Multiple of 371 and 376

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 376 the smallest integer that is 139496 that is divisible by both numbers.

Least Common Multiple (LCM) of 371 and 376 is 139496.

LCM(371,376) = 139496

LCM of 371 and 376

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

LCM of:
and

Least Common Multiple of 371 and 376

LCM of 371 and 376 is 139496

Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 376. First we will calculate the prime factors of 371 and 376.

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 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 376.

LCM(371,376) = 23×71×471×531
LCM(371,376) = 139496

Factors of 371

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

1, 7, 53, 371

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Least Common Multiple of 371 and 376 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 376, than apply into the LCM equation.

GCF(371,376) = 1
LCM(371,376) = ( 371 × 376) / 1
LCM(371,376) = 139496 / 1
LCM(371,376) = 139496

Properties of LCM 371 and 376

(i) The LCM of 376 and 371 is associative

LCM of 371 and 376 = LCM of 376 and 371

Related Least Common Multiples of 371

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 371 and 376

1. What is the LCM of 371 and 376?

Answer: LCM of 371 and 376 is 139496.

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 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

4. How to Find the LCM of 371 and 376?

Answer:

Least Common Multiple of 371 and 376 = 139496

Step 1: Find the prime factorization of 371

371 = 7 x 53

Step 2: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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

LCM = 139496 = 2 x 2 x 2 x 7 x 47 x 53

Step 4: Therefore, the least common multiple of 371 and 376 is 139496.