Least Common Multiple of 4920 and 4924

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 4924 the smallest integer that is 6056520 that is divisible by both numbers.

Least Common Multiple (LCM) of 4920 and 4924 is 6056520.

LCM(4920,4924) = 6056520

LCM of 4920 and 4924

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

LCM of:
and

Least Common Multiple of 4920 and 4924

LCM of 4920 and 4924 is 6056520

Least common multiple can be found by multiplying the highest exponent prime factors of 4920 and 4924. First we will calculate the prime factors of 4920 and 4924.

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 4924


2 4924
2 2462
1231 1231
1

Prime factors of 4924 are 2,1231. Prime factorization of 4924 in exponential form is:

4924 = 22×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 4920 and 4924.

LCM(4920,4924) = 23×31×51×411×12311
LCM(4920,4924) = 6056520

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 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1, 2, 4, 1231, 2462, 4924

Least Common Multiple of 4920 and 4924 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 4924, than apply into the LCM equation.

GCF(4920,4924) = 4
LCM(4920,4924) = ( 4920 × 4924) / 4
LCM(4920,4924) = 24226080 / 4
LCM(4920,4924) = 6056520

Properties of LCM 4920 and 4924

(i) The LCM of 4924 and 4920 is associative

LCM of 4920 and 4924 = LCM of 4924 and 4920

Related Least Common Multiples of 4920

Related Least Common Multiples of 4924

Frequently Asked Questions on LCM of 4920 and 4924

1. What is the LCM of 4920 and 4924?

Answer: LCM of 4920 and 4924 is 6056520.

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 4924?

Answer: Factors of 4924 are 1, 2, 4, 1231, 2462, 4924. There are 6 integers that are factors of 4924. The greatest factor of 4924 is 4924.

4. How to Find the LCM of 4920 and 4924?

Answer:

Least Common Multiple of 4920 and 4924 = 6056520

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 4924

4924 = 2 x 2 x 1231

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

LCM = 6056520 = 2 x 2 x 2 x 3 x 5 x 41 x 1231

Step 4: Therefore, the least common multiple of 4920 and 4924 is 6056520.