Least Common Multiple of 378 and 383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 378 and 383 the smallest integer that is 144774 that is divisible by both numbers.

Least Common Multiple (LCM) of 378 and 383 is 144774.

LCM(378,383) = 144774

LCM of 378 and 383

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

LCM of:
and

Least Common Multiple of 378 and 383

LCM of 378 and 383 is 144774

Least common multiple can be found by multiplying the highest exponent prime factors of 378 and 383. First we will calculate the prime factors of 378 and 383.

Prime Factorization of 378


2 378
3 189
3 63
3 21
7 7
1

Prime factors of 378 are 2, 3,7. Prime factorization of 378 in exponential form is:

378 = 21×33×71

Prime Factorization of 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 378 and 383.

LCM(378,383) = 21×33×71×3831
LCM(378,383) = 144774

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

Least Common Multiple of 378 and 383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 378 and 383, than apply into the LCM equation.

GCF(378,383) = 1
LCM(378,383) = ( 378 × 383) / 1
LCM(378,383) = 144774 / 1
LCM(378,383) = 144774

Properties of LCM 378 and 383

(i) The LCM of 383 and 378 is associative

LCM of 378 and 383 = LCM of 383 and 378

Related Least Common Multiples of 378

Related Least Common Multiples of 383

Frequently Asked Questions on LCM of 378 and 383

1. What is the LCM of 378 and 383?

Answer: LCM of 378 and 383 is 144774.

2. What are the Factors of 378?

Answer: Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. There are 16 integers that are factors of 378. The greatest factor of 378 is 378.

3. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

4. How to Find the LCM of 378 and 383?

Answer:

Least Common Multiple of 378 and 383 = 144774

Step 1: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 383

383 = 383

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

LCM = 144774 = 2 x 3 x 3 x 3 x 7 x 383

Step 4: Therefore, the least common multiple of 378 and 383 is 144774.