Least Common Multiple of 4920 and 4926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4920 and 4926 the smallest integer that is 4039320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4920 and 4926 is 4039320.

LCM(4920,4926) = 4039320

LCM of 4920 and 4926

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

LCM of:
and

Least Common Multiple of 4920 and 4926

LCM of 4920 and 4926 is 4039320

Least common multiple can be found by multiplying the highest exponent prime factors of 4920 and 4926. First we will calculate the prime factors of 4920 and 4926.

Prime Factorization of 4920


2 4920
2 2460
2 1230
3 615
5 205
41 41
1

Prime factors of 4920 are 2, 3, 5,41. Prime factorization of 4920 in exponential form is:

4920 = 23×31×51×411

Prime Factorization of 4926


2 4926
3 2463
821 821
1

Prime factors of 4926 are 2, 3,821. Prime factorization of 4926 in exponential form is:

4926 = 21×31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 4920 and 4926.

LCM(4920,4926) = 23×31×51×411×8211
LCM(4920,4926) = 4039320

Factors of 4920

List of positive integer factors of 4920 that divides 4920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920

Factors of 4926

List of positive integer factors of 4926 that divides 4926 without a remainder.

1, 2, 3, 6, 821, 1642, 2463, 4926

Least Common Multiple of 4920 and 4926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4920 and 4926, than apply into the LCM equation.

GCF(4920,4926) = 6
LCM(4920,4926) = ( 4920 × 4926) / 6
LCM(4920,4926) = 24235920 / 6
LCM(4920,4926) = 4039320

Properties of LCM 4920 and 4926

(i) The LCM of 4926 and 4920 is associative

LCM of 4920 and 4926 = LCM of 4926 and 4920

Related Least Common Multiples of 4920

Related Least Common Multiples of 4926

Frequently Asked Questions on LCM of 4920 and 4926

1. What is the LCM of 4920 and 4926?

Answer: LCM of 4920 and 4926 is 4039320.

2. What are the Factors of 4920?

Answer: Factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920. There are 32 integers that are factors of 4920. The greatest factor of 4920 is 4920.

3. What are the Factors of 4926?

Answer: Factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926. There are 8 integers that are factors of 4926. The greatest factor of 4926 is 4926.

4. How to Find the LCM of 4920 and 4926?

Answer:

Least Common Multiple of 4920 and 4926 = 4039320

Step 1: Find the prime factorization of 4920

4920 = 2 x 2 x 2 x 3 x 5 x 41

Step 2: Find the prime factorization of 4926

4926 = 2 x 3 x 821

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

LCM = 4039320 = 2 x 2 x 2 x 3 x 5 x 41 x 821

Step 4: Therefore, the least common multiple of 4920 and 4926 is 4039320.