Least Common Multiple of 376 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 376 and 379 the smallest integer that is 142504 that is divisible by both numbers.

Least Common Multiple (LCM) of 376 and 379 is 142504.

LCM(376,379) = 142504

LCM of 376 and 379

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

LCM of:
and

Least Common Multiple of 376 and 379

LCM of 376 and 379 is 142504

Least common multiple can be found by multiplying the highest exponent prime factors of 376 and 379. First we will calculate the prime factors of 376 and 379.

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

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 376 and 379.

LCM(376,379) = 23×471×3791
LCM(376,379) = 142504

Factors of 376

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

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

Factors of 379

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

1, 379

Least Common Multiple of 376 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 376 and 379, than apply into the LCM equation.

GCF(376,379) = 1
LCM(376,379) = ( 376 × 379) / 1
LCM(376,379) = 142504 / 1
LCM(376,379) = 142504

Properties of LCM 376 and 379

(i) The LCM of 379 and 376 is associative

LCM of 376 and 379 = LCM of 379 and 376

Related Least Common Multiples of 376

Related Least Common Multiples of 379

Frequently Asked Questions on LCM of 376 and 379

1. What is the LCM of 376 and 379?

Answer: LCM of 376 and 379 is 142504.

2. 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.

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 376 and 379?

Answer:

Least Common Multiple of 376 and 379 = 142504

Step 1: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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 = 142504 = 2 x 2 x 2 x 47 x 379

Step 4: Therefore, the least common multiple of 376 and 379 is 142504.