Least Common Multiple of 373 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 373 and 376 the smallest integer that is 140248 that is divisible by both numbers.

Least Common Multiple (LCM) of 373 and 376 is 140248.

LCM(373,376) = 140248

LCM of 373 and 376

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

LCM of:
and

Least Common Multiple of 373 and 376

LCM of 373 and 376 is 140248

Least common multiple can be found by multiplying the highest exponent prime factors of 373 and 376. First we will calculate the prime factors of 373 and 376.

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 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 373 and 376.

LCM(373,376) = 23×471×3731
LCM(373,376) = 140248

Factors of 373

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

1, 373

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 373 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 373 and 376, than apply into the LCM equation.

GCF(373,376) = 1
LCM(373,376) = ( 373 × 376) / 1
LCM(373,376) = 140248 / 1
LCM(373,376) = 140248

Properties of LCM 373 and 376

(i) The LCM of 376 and 373 is associative

LCM of 373 and 376 = LCM of 376 and 373

Related Least Common Multiples of 373

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 373 and 376

1. What is the LCM of 373 and 376?

Answer: LCM of 373 and 376 is 140248.

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 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 373 and 376?

Answer:

Least Common Multiple of 373 and 376 = 140248

Step 1: Find the prime factorization of 373

373 = 373

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 = 140248 = 2 x 2 x 2 x 47 x 373

Step 4: Therefore, the least common multiple of 373 and 376 is 140248.