Least Common Multiple of 4374 and 4380

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 4380 the smallest integer that is 3193020 that is divisible by both numbers.

Least Common Multiple (LCM) of 4374 and 4380 is 3193020.

LCM(4374,4380) = 3193020

LCM of 4374 and 4380

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

LCM of:
and

Least Common Multiple of 4374 and 4380

LCM of 4374 and 4380 is 3193020

Least common multiple can be found by multiplying the highest exponent prime factors of 4374 and 4380. First we will calculate the prime factors of 4374 and 4380.

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 4380


2 4380
2 2190
3 1095
5 365
73 73
1

Prime factors of 4380 are 2, 3, 5,73. Prime factorization of 4380 in exponential form is:

4380 = 22×31×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 4374 and 4380.

LCM(4374,4380) = 22×37×51×731
LCM(4374,4380) = 3193020

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 4380

List of positive integer factors of 4380 that divides 4380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380

Least Common Multiple of 4374 and 4380 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 4380, than apply into the LCM equation.

GCF(4374,4380) = 6
LCM(4374,4380) = ( 4374 × 4380) / 6
LCM(4374,4380) = 19158120 / 6
LCM(4374,4380) = 3193020

Properties of LCM 4374 and 4380

(i) The LCM of 4380 and 4374 is associative

LCM of 4374 and 4380 = LCM of 4380 and 4374

Related Least Common Multiples of 4374

Related Least Common Multiples of 4380

Frequently Asked Questions on LCM of 4374 and 4380

1. What is the LCM of 4374 and 4380?

Answer: LCM of 4374 and 4380 is 3193020.

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 4380?

Answer: Factors of 4380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 73, 146, 219, 292, 365, 438, 730, 876, 1095, 1460, 2190, 4380. There are 24 integers that are factors of 4380. The greatest factor of 4380 is 4380.

4. How to Find the LCM of 4374 and 4380?

Answer:

Least Common Multiple of 4374 and 4380 = 3193020

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 4380

4380 = 2 x 2 x 3 x 5 x 73

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

LCM = 3193020 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 73

Step 4: Therefore, the least common multiple of 4374 and 4380 is 3193020.