Least Common Multiple of 4824 and 4830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4824 and 4830 the smallest integer that is 3883320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4824 and 4830 is 3883320.

LCM(4824,4830) = 3883320

LCM of 4824 and 4830

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

LCM of:
and

Least Common Multiple of 4824 and 4830

LCM of 4824 and 4830 is 3883320

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4830. First we will calculate the prime factors of 4824 and 4830.

Prime Factorization of 4824


2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 4824 are 2, 3,67. Prime factorization of 4824 in exponential form is:

4824 = 23×32×671

Prime Factorization of 4830


2 4830
3 2415
5 805
7 161
23 23
1

Prime factors of 4830 are 2, 3, 5, 7,23. Prime factorization of 4830 in exponential form is:

4830 = 21×31×51×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4830.

LCM(4824,4830) = 23×32×51×71×231×671
LCM(4824,4830) = 3883320

Factors of 4824

List of positive integer factors of 4824 that divides 4824 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824

Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830

Least Common Multiple of 4824 and 4830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4824 and 4830, than apply into the LCM equation.

GCF(4824,4830) = 6
LCM(4824,4830) = ( 4824 × 4830) / 6
LCM(4824,4830) = 23299920 / 6
LCM(4824,4830) = 3883320

Properties of LCM 4824 and 4830

(i) The LCM of 4830 and 4824 is associative

LCM of 4824 and 4830 = LCM of 4830 and 4824

Related Least Common Multiples of 4824

Related Least Common Multiples of 4830

Frequently Asked Questions on LCM of 4824 and 4830

1. What is the LCM of 4824 and 4830?

Answer: LCM of 4824 and 4830 is 3883320.

2. What are the Factors of 4824?

Answer: Factors of 4824 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 67, 72, 134, 201, 268, 402, 536, 603, 804, 1206, 1608, 2412, 4824. There are 24 integers that are factors of 4824. The greatest factor of 4824 is 4824.

3. What are the Factors of 4830?

Answer: Factors of 4830 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415, 4830. There are 32 integers that are factors of 4830. The greatest factor of 4830 is 4830.

4. How to Find the LCM of 4824 and 4830?

Answer:

Least Common Multiple of 4824 and 4830 = 3883320

Step 1: Find the prime factorization of 4824

4824 = 2 x 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 4830

4830 = 2 x 3 x 5 x 7 x 23

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

LCM = 3883320 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 23 x 67

Step 4: Therefore, the least common multiple of 4824 and 4830 is 3883320.