Least Common Multiple of 4367 and 4374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4367 and 4374 the smallest integer that is 19101258 that is divisible by both numbers.

Least Common Multiple (LCM) of 4367 and 4374 is 19101258.

LCM(4367,4374) = 19101258

LCM of 4367 and 4374

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

LCM of:
and

Least Common Multiple of 4367 and 4374

LCM of 4367 and 4374 is 19101258

Least common multiple can be found by multiplying the highest exponent prime factors of 4367 and 4374. First we will calculate the prime factors of 4367 and 4374.

Prime Factorization of 4367


11 4367
397 397
1

Prime factors of 4367 are 11,397. Prime factorization of 4367 in exponential form is:

4367 = 111×3971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4367 and 4374.

LCM(4367,4374) = 21×37×111×3971
LCM(4367,4374) = 19101258

Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1, 11, 397, 4367

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

Least Common Multiple of 4367 and 4374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4367 and 4374, than apply into the LCM equation.

GCF(4367,4374) = 1
LCM(4367,4374) = ( 4367 × 4374) / 1
LCM(4367,4374) = 19101258 / 1
LCM(4367,4374) = 19101258

Properties of LCM 4367 and 4374

(i) The LCM of 4374 and 4367 is associative

LCM of 4367 and 4374 = LCM of 4374 and 4367

Related Least Common Multiples of 4367

Related Least Common Multiples of 4374

Frequently Asked Questions on LCM of 4367 and 4374

1. What is the LCM of 4367 and 4374?

Answer: LCM of 4367 and 4374 is 19101258.

2. What are the Factors of 4367?

Answer: Factors of 4367 are 1, 11, 397, 4367. There are 4 integers that are factors of 4367. The greatest factor of 4367 is 4367.

3. 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.

4. How to Find the LCM of 4367 and 4374?

Answer:

Least Common Multiple of 4367 and 4374 = 19101258

Step 1: Find the prime factorization of 4367

4367 = 11 x 397

Step 2: Find the prime factorization of 4374

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

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

LCM = 19101258 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 397

Step 4: Therefore, the least common multiple of 4367 and 4374 is 19101258.