Least Common Multiple of 373 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 373 and 374 the smallest integer that is 139502 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 374 is 139502.

LCM(373,374) = 139502

LCM of 373 and 374

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

LCM of:
and

Least Common Multiple of 373 and 374

LCM of 373 and 374 is 139502

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 374. First we will calculate the prime factors of 373 and 374.

Prime Factorization of 373


373 373
1

Prime factors of 373 are 373. Prime factorization of 373 in exponential form is:

373 = 3731

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 373 and 374.

LCM(373,374) = 21×111×171×3731
LCM(373,374) = 139502

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1, 373

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 373 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 373 and 374, than apply into the LCM equation.

GCF(373,374) = 1
LCM(373,374) = ( 373 × 374) / 1
LCM(373,374) = 139502 / 1
LCM(373,374) = 139502

Properties of LCM 373 and 374

(i) The LCM of 374 and 373 is associative

LCM of 373 and 374 = LCM of 374 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 374

Frequently Asked Questions on LCM of 373 and 374

1. What is the LCM of 373 and 374?

Answer: LCM of 373 and 374 is 139502.

2. What are the Factors of 373?

Answer: Factors of 373 are 1, 373. There are 2 integers that are factors of 373. The greatest factor of 373 is 373.

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 373 and 374?

Answer:

Least Common Multiple of 373 and 374 = 139502

Step 1: Find the prime factorization of 373

373 = 373

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 = 139502 = 2 x 11 x 17 x 373

Step 4: Therefore, the least common multiple of 373 and 374 is 139502.