Least Common Multiple of 369 and 377

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 377 the smallest integer that is 139113 that is divisible by both numbers.

Least Common Multiple (LCM) of 369 and 377 is 139113.

LCM(369,377) = 139113

LCM of 369 and 377

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

LCM of:
and

Least Common Multiple of 369 and 377

LCM of 369 and 377 is 139113

Least common multiple can be found by multiplying the highest exponent prime factors of 369 and 377. First we will calculate the prime factors of 369 and 377.

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 377


13 377
29 29
1

Prime factors of 377 are 13,29. Prime factorization of 377 in exponential form is:

377 = 131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 369 and 377.

LCM(369,377) = 32×131×291×411
LCM(369,377) = 139113

Factors of 369

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

1, 3, 9, 41, 123, 369

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Least Common Multiple of 369 and 377 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 377, than apply into the LCM equation.

GCF(369,377) = 1
LCM(369,377) = ( 369 × 377) / 1
LCM(369,377) = 139113 / 1
LCM(369,377) = 139113

Properties of LCM 369 and 377

(i) The LCM of 377 and 369 is associative

LCM of 369 and 377 = LCM of 377 and 369

Related Least Common Multiples of 369

Related Least Common Multiples of 377

Frequently Asked Questions on LCM of 369 and 377

1. What is the LCM of 369 and 377?

Answer: LCM of 369 and 377 is 139113.

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 377?

Answer: Factors of 377 are 1, 13, 29, 377. There are 4 integers that are factors of 377. The greatest factor of 377 is 377.

4. How to Find the LCM of 369 and 377?

Answer:

Least Common Multiple of 369 and 377 = 139113

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

Step 2: Find the prime factorization of 377

377 = 13 x 29

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

LCM = 139113 = 3 x 3 x 13 x 29 x 41

Step 4: Therefore, the least common multiple of 369 and 377 is 139113.