Least Common Multiple of 377 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 377 and 379 the smallest integer that is 142883 that is divisible by both numbers.

Least Common Multiple (LCM) of 377 and 379 is 142883.

LCM(377,379) = 142883

LCM of 377 and 379

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

LCM of:
and

Least Common Multiple of 377 and 379

LCM of 377 and 379 is 142883

Least common multiple can be found by multiplying the highest exponent prime factors of 377 and 379. First we will calculate the prime factors of 377 and 379.

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

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 377 and 379.

LCM(377,379) = 131×291×3791
LCM(377,379) = 142883

Factors of 377

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

1, 13, 29, 377

Factors of 379

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

1, 379

Least Common Multiple of 377 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 377 and 379, than apply into the LCM equation.

GCF(377,379) = 1
LCM(377,379) = ( 377 × 379) / 1
LCM(377,379) = 142883 / 1
LCM(377,379) = 142883

Properties of LCM 377 and 379

(i) The LCM of 379 and 377 is associative

LCM of 377 and 379 = LCM of 379 and 377

Related Least Common Multiples of 377

Related Least Common Multiples of 379

Frequently Asked Questions on LCM of 377 and 379

1. What is the LCM of 377 and 379?

Answer: LCM of 377 and 379 is 142883.

2. 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.

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 377 and 379?

Answer:

Least Common Multiple of 377 and 379 = 142883

Step 1: Find the prime factorization of 377

377 = 13 x 29

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 = 142883 = 13 x 29 x 379

Step 4: Therefore, the least common multiple of 377 and 379 is 142883.