Least Common Multiple of 374 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 374 and 378 the smallest integer that is 70686 that is divisible by both numbers.

Least Common Multiple (LCM) of 374 and 378 is 70686.

LCM(374,378) = 70686

LCM of 374 and 378

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

LCM of:
and

Least Common Multiple of 374 and 378

LCM of 374 and 378 is 70686

Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 378. First we will calculate the prime factors of 374 and 378.

Prime Factorization of 374


2 374
11 187
17 17
1

Prime factors of 374 are 2, 11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

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 374 and 378.

LCM(374,378) = 21×33×71×111×171
LCM(374,378) = 70686

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

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 374 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 374 and 378, than apply into the LCM equation.

GCF(374,378) = 2
LCM(374,378) = ( 374 × 378) / 2
LCM(374,378) = 141372 / 2
LCM(374,378) = 70686

Properties of LCM 374 and 378

(i) The LCM of 378 and 374 is associative

LCM of 374 and 378 = LCM of 378 and 374

Related Least Common Multiples of 374

Related Least Common Multiples of 378

Frequently Asked Questions on LCM of 374 and 378

1. What is the LCM of 374 and 378?

Answer: LCM of 374 and 378 is 70686.

2. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

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 374 and 378?

Answer:

Least Common Multiple of 374 and 378 = 70686

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

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 = 70686 = 2 x 3 x 3 x 3 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 374 and 378 is 70686.