Least Common Multiple of 4824 and 4826

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 4826 the smallest integer that is 11640312 that is divisible by both numbers.

Least Common Multiple (LCM) of 4824 and 4826 is 11640312.

LCM(4824,4826) = 11640312

LCM of 4824 and 4826

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

LCM of:
and

Least Common Multiple of 4824 and 4826

LCM of 4824 and 4826 is 11640312

Least common multiple can be found by multiplying the highest exponent prime factors of 4824 and 4826. First we will calculate the prime factors of 4824 and 4826.

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 4826


2 4826
19 2413
127 127
1

Prime factors of 4826 are 2, 19,127. Prime factorization of 4826 in exponential form is:

4826 = 21×191×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4824 and 4826.

LCM(4824,4826) = 23×32×191×671×1271
LCM(4824,4826) = 11640312

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 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1, 2, 19, 38, 127, 254, 2413, 4826

Least Common Multiple of 4824 and 4826 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 4826, than apply into the LCM equation.

GCF(4824,4826) = 2
LCM(4824,4826) = ( 4824 × 4826) / 2
LCM(4824,4826) = 23280624 / 2
LCM(4824,4826) = 11640312

Properties of LCM 4824 and 4826

(i) The LCM of 4826 and 4824 is associative

LCM of 4824 and 4826 = LCM of 4826 and 4824

Related Least Common Multiples of 4824

Related Least Common Multiples of 4826

Frequently Asked Questions on LCM of 4824 and 4826

1. What is the LCM of 4824 and 4826?

Answer: LCM of 4824 and 4826 is 11640312.

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 4826?

Answer: Factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826. There are 8 integers that are factors of 4826. The greatest factor of 4826 is 4826.

4. How to Find the LCM of 4824 and 4826?

Answer:

Least Common Multiple of 4824 and 4826 = 11640312

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 4826

4826 = 2 x 19 x 127

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

LCM = 11640312 = 2 x 2 x 2 x 3 x 3 x 19 x 67 x 127

Step 4: Therefore, the least common multiple of 4824 and 4826 is 11640312.