Least Common Multiple of 373 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 373 and 379 the smallest integer that is 141367 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 379 is 141367.

LCM(373,379) = 141367

LCM of 373 and 379

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

LCM of:
and

Least Common Multiple of 373 and 379

LCM of 373 and 379 is 141367

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 379. First we will calculate the prime factors of 373 and 379.

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 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 373 and 379.

LCM(373,379) = 3731×3791
LCM(373,379) = 141367

Factors of 373

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

1, 373

Factors of 379

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

1, 379

Least Common Multiple of 373 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 373 and 379, than apply into the LCM equation.

GCF(373,379) = 1
LCM(373,379) = ( 373 × 379) / 1
LCM(373,379) = 141367 / 1
LCM(373,379) = 141367

Properties of LCM 373 and 379

(i) The LCM of 379 and 373 is associative

LCM of 373 and 379 = LCM of 379 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 379

Frequently Asked Questions on LCM of 373 and 379

1. What is the LCM of 373 and 379?

Answer: LCM of 373 and 379 is 141367.

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 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 373 and 379?

Answer:

Least Common Multiple of 373 and 379 = 141367

Step 1: Find the prime factorization of 373

373 = 373

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 = 141367 = 373 x 379

Step 4: Therefore, the least common multiple of 373 and 379 is 141367.