Least Common Multiple of 373 and 380

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 380 the smallest integer that is 141740 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 380 is 141740.

LCM(373,380) = 141740

LCM of 373 and 380

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

LCM of:
and

Least Common Multiple of 373 and 380

LCM of 373 and 380 is 141740

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 380. First we will calculate the prime factors of 373 and 380.

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 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2, 5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 373 and 380.

LCM(373,380) = 22×51×191×3731
LCM(373,380) = 141740

Factors of 373

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

1, 373

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Least Common Multiple of 373 and 380 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 380, than apply into the LCM equation.

GCF(373,380) = 1
LCM(373,380) = ( 373 × 380) / 1
LCM(373,380) = 141740 / 1
LCM(373,380) = 141740

Properties of LCM 373 and 380

(i) The LCM of 380 and 373 is associative

LCM of 373 and 380 = LCM of 380 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 380

Frequently Asked Questions on LCM of 373 and 380

1. What is the LCM of 373 and 380?

Answer: LCM of 373 and 380 is 141740.

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 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

4. How to Find the LCM of 373 and 380?

Answer:

Least Common Multiple of 373 and 380 = 141740

Step 1: Find the prime factorization of 373

373 = 373

Step 2: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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

LCM = 141740 = 2 x 2 x 5 x 19 x 373

Step 4: Therefore, the least common multiple of 373 and 380 is 141740.