Least Common Multiple of 371 and 378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 371 and 378 the smallest integer that is 20034 that is divisible by both numbers.

Least Common Multiple (LCM) of 371 and 378 is 20034.

LCM(371,378) = 20034

LCM of 371 and 378

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

LCM of:
and

Least Common Multiple of 371 and 378

LCM of 371 and 378 is 20034

Least common multiple can be found by multiplying the highest exponent prime factors of 371 and 378. First we will calculate the prime factors of 371 and 378.

Prime Factorization of 371


7 371
53 53
1

Prime factors of 371 are 7,53. Prime factorization of 371 in exponential form is:

371 = 71×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 371 and 378.

LCM(371,378) = 21×33×71×531
LCM(371,378) = 20034

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1, 7, 53, 371

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

Least Common Multiple of 371 and 378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 371 and 378, than apply into the LCM equation.

GCF(371,378) = 7
LCM(371,378) = ( 371 × 378) / 7
LCM(371,378) = 140238 / 7
LCM(371,378) = 20034

Properties of LCM 371 and 378

(i) The LCM of 378 and 371 is associative

LCM of 371 and 378 = LCM of 378 and 371

Related Least Common Multiples of 371

Related Least Common Multiples of 378

Frequently Asked Questions on LCM of 371 and 378

1. What is the LCM of 371 and 378?

Answer: LCM of 371 and 378 is 20034.

2. What are the Factors of 371?

Answer: Factors of 371 are 1, 7, 53, 371. There are 4 integers that are factors of 371. The greatest factor of 371 is 371.

3. 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.

4. How to Find the LCM of 371 and 378?

Answer:

Least Common Multiple of 371 and 378 = 20034

Step 1: Find the prime factorization of 371

371 = 7 x 53

Step 2: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

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

LCM = 20034 = 2 x 3 x 3 x 3 x 7 x 53

Step 4: Therefore, the least common multiple of 371 and 378 is 20034.