Least Common Multiple of 369 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 369 and 376 the smallest integer that is 138744 that is divisible by both numbers.

Least Common Multiple (LCM) of 369 and 376 is 138744.

LCM(369,376) = 138744

LCM of 369 and 376

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

LCM of:
and

Least Common Multiple of 369 and 376

LCM of 369 and 376 is 138744

Least common multiple can be found by multiplying the highest exponent prime factors of 369 and 376. First we will calculate the prime factors of 369 and 376.

Prime Factorization of 369


3 369
3 123
41 41
1

Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:

369 = 32×411

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 369 and 376.

LCM(369,376) = 23×32×411×471
LCM(369,376) = 138744

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 369 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 369 and 376, than apply into the LCM equation.

GCF(369,376) = 1
LCM(369,376) = ( 369 × 376) / 1
LCM(369,376) = 138744 / 1
LCM(369,376) = 138744

Properties of LCM 369 and 376

(i) The LCM of 376 and 369 is associative

LCM of 369 and 376 = LCM of 376 and 369

Related Least Common Multiples of 369

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 369 and 376

1. What is the LCM of 369 and 376?

Answer: LCM of 369 and 376 is 138744.

2. What are the Factors of 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

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 369 and 376?

Answer:

Least Common Multiple of 369 and 376 = 138744

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

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 = 138744 = 2 x 2 x 2 x 3 x 3 x 41 x 47

Step 4: Therefore, the least common multiple of 369 and 376 is 138744.