Least Common Multiple of 4374 and 4379

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 4379 the smallest integer that is 19153746 that is divisible by both numbers.

Least Common Multiple (LCM) of 4374 and 4379 is 19153746.

LCM(4374,4379) = 19153746

LCM of 4374 and 4379

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

LCM of:
and

Least Common Multiple of 4374 and 4379

LCM of 4374 and 4379 is 19153746

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4379. First we will calculate the prime factors of 4374 and 4379.

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 4379


29 4379
151 151
1

Prime factors of 4379 are 29,151. Prime factorization of 4379 in exponential form is:

4379 = 291×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4379.

LCM(4374,4379) = 21×37×291×1511
LCM(4374,4379) = 19153746

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 4379

List of positive integer factors of 4379 that divides 4379 without a remainder.

1, 29, 151, 4379

Least Common Multiple of 4374 and 4379 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 4379, than apply into the LCM equation.

GCF(4374,4379) = 1
LCM(4374,4379) = ( 4374 × 4379) / 1
LCM(4374,4379) = 19153746 / 1
LCM(4374,4379) = 19153746

Properties of LCM 4374 and 4379

(i) The LCM of 4379 and 4374 is associative

LCM of 4374 and 4379 = LCM of 4379 and 4374

Related Least Common Multiples of 4374

Related Least Common Multiples of 4379

Frequently Asked Questions on LCM of 4374 and 4379

1. What is the LCM of 4374 and 4379?

Answer: LCM of 4374 and 4379 is 19153746.

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 4379?

Answer: Factors of 4379 are 1, 29, 151, 4379. There are 4 integers that are factors of 4379. The greatest factor of 4379 is 4379.

4. How to Find the LCM of 4374 and 4379?

Answer:

Least Common Multiple of 4374 and 4379 = 19153746

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 4379

4379 = 29 x 151

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

LCM = 19153746 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 29 x 151

Step 4: Therefore, the least common multiple of 4374 and 4379 is 19153746.