Least Common Multiple of 373 and 381

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 381 the smallest integer that is 142113 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 381 is 142113.

LCM(373,381) = 142113

LCM of 373 and 381

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

LCM of:
and

Least Common Multiple of 373 and 381

LCM of 373 and 381 is 142113

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 381. First we will calculate the prime factors of 373 and 381.

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 381


3 381
127 127
1

Prime factors of 381 are 3,127. Prime factorization of 381 in exponential form is:

381 = 31×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 373 and 381.

LCM(373,381) = 31×1271×3731
LCM(373,381) = 142113

Factors of 373

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

1, 373

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Least Common Multiple of 373 and 381 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 381, than apply into the LCM equation.

GCF(373,381) = 1
LCM(373,381) = ( 373 × 381) / 1
LCM(373,381) = 142113 / 1
LCM(373,381) = 142113

Properties of LCM 373 and 381

(i) The LCM of 381 and 373 is associative

LCM of 373 and 381 = LCM of 381 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 381

Frequently Asked Questions on LCM of 373 and 381

1. What is the LCM of 373 and 381?

Answer: LCM of 373 and 381 is 142113.

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 381?

Answer: Factors of 381 are 1, 3, 127, 381. There are 4 integers that are factors of 381. The greatest factor of 381 is 381.

4. How to Find the LCM of 373 and 381?

Answer:

Least Common Multiple of 373 and 381 = 142113

Step 1: Find the prime factorization of 373

373 = 373

Step 2: Find the prime factorization of 381

381 = 3 x 127

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

LCM = 142113 = 3 x 127 x 373

Step 4: Therefore, the least common multiple of 373 and 381 is 142113.