Least Common Multiple of 372 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 372 and 376 the smallest integer that is 34968 that is divisible by both numbers.

Least Common Multiple (LCM) of 372 and 376 is 34968.

LCM(372,376) = 34968

LCM of 372 and 376

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

LCM of:
and

Least Common Multiple of 372 and 376

LCM of 372 and 376 is 34968

Least common multiple can be found by multiplying the highest exponent prime factors of 372 and 376. First we will calculate the prime factors of 372 and 376.

Prime Factorization of 372


2 372
2 186
3 93
31 31
1

Prime factors of 372 are 2, 3,31. Prime factorization of 372 in exponential form is:

372 = 22×31×311

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 372 and 376.

LCM(372,376) = 23×31×311×471
LCM(372,376) = 34968

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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 372 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 372 and 376, than apply into the LCM equation.

GCF(372,376) = 4
LCM(372,376) = ( 372 × 376) / 4
LCM(372,376) = 139872 / 4
LCM(372,376) = 34968

Properties of LCM 372 and 376

(i) The LCM of 376 and 372 is associative

LCM of 372 and 376 = LCM of 376 and 372

Related Least Common Multiples of 372

Related Least Common Multiples of 376

Frequently Asked Questions on LCM of 372 and 376

1. What is the LCM of 372 and 376?

Answer: LCM of 372 and 376 is 34968.

2. What are the Factors of 372?

Answer: Factors of 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372. There are 12 integers that are factors of 372. The greatest factor of 372 is 372.

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 372 and 376?

Answer:

Least Common Multiple of 372 and 376 = 34968

Step 1: Find the prime factorization of 372

372 = 2 x 2 x 3 x 31

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 = 34968 = 2 x 2 x 2 x 3 x 31 x 47

Step 4: Therefore, the least common multiple of 372 and 376 is 34968.