Least Common Multiple of 370 and 374

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 374 the smallest integer that is 69190 that is divisible by both numbers.

Least Common Multiple (LCM) of 370 and 374 is 69190.

LCM(370,374) = 69190

LCM of 370 and 374

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

LCM of:
and

Least Common Multiple of 370 and 374

LCM of 370 and 374 is 69190

Least common multiple can be found by multiplying the highest exponent prime factors of 370 and 374. First we will calculate the prime factors of 370 and 374.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 370 and 374.

LCM(370,374) = 21×51×111×171×371
LCM(370,374) = 69190

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 374

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

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

Least Common Multiple of 370 and 374 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 374, than apply into the LCM equation.

GCF(370,374) = 2
LCM(370,374) = ( 370 × 374) / 2
LCM(370,374) = 138380 / 2
LCM(370,374) = 69190

Properties of LCM 370 and 374

(i) The LCM of 374 and 370 is associative

LCM of 370 and 374 = LCM of 374 and 370

Related Least Common Multiples of 370

Related Least Common Multiples of 374

Frequently Asked Questions on LCM of 370 and 374

1. What is the LCM of 370 and 374?

Answer: LCM of 370 and 374 is 69190.

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 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.

4. How to Find the LCM of 370 and 374?

Answer:

Least Common Multiple of 370 and 374 = 69190

Step 1: Find the prime factorization of 370

370 = 2 x 5 x 37

Step 2: Find the prime factorization of 374

374 = 2 x 11 x 17

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

LCM = 69190 = 2 x 5 x 11 x 17 x 37

Step 4: Therefore, the least common multiple of 370 and 374 is 69190.