Least Common Multiple of 374 and 376

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 376 the smallest integer that is 70312 that is divisible by both numbers.

Least Common Multiple (LCM) of 374 and 376 is 70312.

LCM(374,376) = 70312

LCM of 374 and 376

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

LCM of:
and

Least Common Multiple of 374 and 376

LCM of 374 and 376 is 70312

Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 376. First we will calculate the prime factors of 374 and 376.

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 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

Now multiplying the highest exponent prime factors to calculate the LCM of 374 and 376.

LCM(374,376) = 23×111×171×471
LCM(374,376) = 70312

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 376

List of positive integer factors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Least Common Multiple of 374 and 376 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 376, than apply into the LCM equation.

GCF(374,376) = 2
LCM(374,376) = ( 374 × 376) / 2
LCM(374,376) = 140624 / 2
LCM(374,376) = 70312

Properties of LCM 374 and 376

(i) The LCM of 376 and 374 is associative

LCM of 374 and 376 = LCM of 376 and 374

Related Least Common Multiples of 374

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 374 and 376

1. What is the LCM of 374 and 376?

Answer: LCM of 374 and 376 is 70312.

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 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

4. How to Find the LCM of 374 and 376?

Answer:

Least Common Multiple of 374 and 376 = 70312

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

Step 2: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

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

LCM = 70312 = 2 x 2 x 2 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 374 and 376 is 70312.