Least Common Multiple of 4376 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 4376 and 4380 the smallest integer that is 4791720 that is divisible by both numbers.

Least Common Multiple (LCM) of 4376 and 4380 is 4791720.

LCM(4376,4380) = 4791720

LCM of 4376 and 4380

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

LCM of:
and

Least Common Multiple of 4376 and 4380

LCM of 4376 and 4380 is 4791720

Least common multiple can be found by multiplying the highest exponent prime factors of 4376 and 4380. First we will calculate the prime factors of 4376 and 4380.

Prime Factorization of 4376


2 4376
2 2188
2 1094
547 547
1

Prime factors of 4376 are 2,547. Prime factorization of 4376 in exponential form is:

4376 = 23×5471

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 4376 and 4380.

LCM(4376,4380) = 23×31×51×731×5471
LCM(4376,4380) = 4791720

Factors of 4376

List of positive integer factors of 4376 that divides 4376 without a remainder.

1, 2, 4, 8, 547, 1094, 2188, 4376

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 4376 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 4376 and 4380, than apply into the LCM equation.

GCF(4376,4380) = 4
LCM(4376,4380) = ( 4376 × 4380) / 4
LCM(4376,4380) = 19166880 / 4
LCM(4376,4380) = 4791720

Properties of LCM 4376 and 4380

(i) The LCM of 4380 and 4376 is associative

LCM of 4376 and 4380 = LCM of 4380 and 4376

Related Least Common Multiples of 4376

Related Least Common Multiples of 4380

Frequently Asked Questions on LCM of 4376 and 4380

1. What is the LCM of 4376 and 4380?

Answer: LCM of 4376 and 4380 is 4791720.

2. What are the Factors of 4376?

Answer: Factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376. There are 8 integers that are factors of 4376. The greatest factor of 4376 is 4376.

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 4376 and 4380?

Answer:

Least Common Multiple of 4376 and 4380 = 4791720

Step 1: Find the prime factorization of 4376

4376 = 2 x 2 x 2 x 547

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 = 4791720 = 2 x 2 x 2 x 3 x 5 x 73 x 547

Step 4: Therefore, the least common multiple of 4376 and 4380 is 4791720.