Least Common Multiple of 370 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 370 and 376 the smallest integer that is 69560 that is divisible by both numbers.

Least Common Multiple (LCM) of 370 and 376 is 69560.

LCM(370,376) = 69560

LCM of 370 and 376

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

LCM of:
and

Least Common Multiple of 370 and 376

LCM of 370 and 376 is 69560

Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 376. First we will calculate the prime factors of 370 and 376.

Prime Factorization of 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

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 370 and 376.

LCM(370,376) = 23×51×371×471
LCM(370,376) = 69560

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 370 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 370 and 376, than apply into the LCM equation.

GCF(370,376) = 2
LCM(370,376) = ( 370 × 376) / 2
LCM(370,376) = 139120 / 2
LCM(370,376) = 69560

Properties of LCM 370 and 376

(i) The LCM of 376 and 370 is associative

LCM of 370 and 376 = LCM of 376 and 370

Related Least Common Multiples of 370

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 370 and 376

1. What is the LCM of 370 and 376?

Answer: LCM of 370 and 376 is 69560.

2. What are the Factors of 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

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 370 and 376?

Answer:

Least Common Multiple of 370 and 376 = 69560

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

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 = 69560 = 2 x 2 x 2 x 5 x 37 x 47

Step 4: Therefore, the least common multiple of 370 and 376 is 69560.