Least Common Multiple of 4374 and 4378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4374 and 4378 the smallest integer that is 9574686 that is divisible by both numbers.

Least Common Multiple (LCM) of 4374 and 4378 is 9574686.

LCM(4374,4378) = 9574686

LCM of 4374 and 4378

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

LCM of:
and

Least Common Multiple of 4374 and 4378

LCM of 4374 and 4378 is 9574686

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4378. First we will calculate the prime factors of 4374 and 4378.

Prime Factorization of 4374


2 4374
3 2187
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:

4374 = 21×37

Prime Factorization of 4378


2 4378
11 2189
199 199
1

Prime factors of 4378 are 2, 11,199. Prime factorization of 4378 in exponential form is:

4378 = 21×111×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4378.

LCM(4374,4378) = 21×37×111×1991
LCM(4374,4378) = 9574686

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

Factors of 4378

List of positive integer factors of 4378 that divides 4378 without a remainder.

1, 2, 11, 22, 199, 398, 2189, 4378

Least Common Multiple of 4374 and 4378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4374 and 4378, than apply into the LCM equation.

GCF(4374,4378) = 2
LCM(4374,4378) = ( 4374 × 4378) / 2
LCM(4374,4378) = 19149372 / 2
LCM(4374,4378) = 9574686

Properties of LCM 4374 and 4378

(i) The LCM of 4378 and 4374 is associative

LCM of 4374 and 4378 = LCM of 4378 and 4374

Related Least Common Multiples of 4374

Related Least Common Multiples of 4378

Frequently Asked Questions on LCM of 4374 and 4378

1. What is the LCM of 4374 and 4378?

Answer: LCM of 4374 and 4378 is 9574686.

2. What are the Factors of 4374?

Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.

3. What are the Factors of 4378?

Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.

4. How to Find the LCM of 4374 and 4378?

Answer:

Least Common Multiple of 4374 and 4378 = 9574686

Step 1: Find the prime factorization of 4374

4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 4378

4378 = 2 x 11 x 199

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

LCM = 9574686 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 199

Step 4: Therefore, the least common multiple of 4374 and 4378 is 9574686.