Least Common Multiple of 373 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 373 and 377 the smallest integer that is 140621 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 377 is 140621.

LCM(373,377) = 140621

LCM of 373 and 377

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

LCM of:
and

Least Common Multiple of 373 and 377

LCM of 373 and 377 is 140621

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 377. First we will calculate the prime factors of 373 and 377.

Prime Factorization of 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

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 373 and 377.

LCM(373,377) = 131×291×3731
LCM(373,377) = 140621

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1, 373

Factors of 377

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

1, 13, 29, 377

Least Common Multiple of 373 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 373 and 377, than apply into the LCM equation.

GCF(373,377) = 1
LCM(373,377) = ( 373 × 377) / 1
LCM(373,377) = 140621 / 1
LCM(373,377) = 140621

Properties of LCM 373 and 377

(i) The LCM of 377 and 373 is associative

LCM of 373 and 377 = LCM of 377 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 377

Frequently Asked Questions on LCM of 373 and 377

1. What is the LCM of 373 and 377?

Answer: LCM of 373 and 377 is 140621.

2. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

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 373 and 377?

Answer:

Least Common Multiple of 373 and 377 = 140621

Step 1: Find the prime factorization of 373

373 = 373

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 = 140621 = 13 x 29 x 373

Step 4: Therefore, the least common multiple of 373 and 377 is 140621.