Least Common Multiple of 4912 and 4920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4912 and 4920 the smallest integer that is 3020880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4912 and 4920 is 3020880.

LCM(4912,4920) = 3020880

LCM of 4912 and 4920

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

LCM of:
and

Least Common Multiple of 4912 and 4920

LCM of 4912 and 4920 is 3020880

Least common multiple can be found by multiplying the highest exponent prime factors of 4912 and 4920. First we will calculate the prime factors of 4912 and 4920.

Prime Factorization of 4912


2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 4912 are 2,307. Prime factorization of 4912 in exponential form is:

4912 = 24×3071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4912 and 4920.

LCM(4912,4920) = 24×31×51×411×3071
LCM(4912,4920) = 3020880

Factors of 4912

List of positive integer factors of 4912 that divides 4912 without a remainder.

1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912

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

Least Common Multiple of 4912 and 4920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4912 and 4920, than apply into the LCM equation.

GCF(4912,4920) = 8
LCM(4912,4920) = ( 4912 × 4920) / 8
LCM(4912,4920) = 24167040 / 8
LCM(4912,4920) = 3020880

Properties of LCM 4912 and 4920

(i) The LCM of 4920 and 4912 is associative

LCM of 4912 and 4920 = LCM of 4920 and 4912

Related Least Common Multiples of 4912

Related Least Common Multiples of 4920

Frequently Asked Questions on LCM of 4912 and 4920

1. What is the LCM of 4912 and 4920?

Answer: LCM of 4912 and 4920 is 3020880.

2. What are the Factors of 4912?

Answer: Factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912. There are 10 integers that are factors of 4912. The greatest factor of 4912 is 4912.

3. 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.

4. How to Find the LCM of 4912 and 4920?

Answer:

Least Common Multiple of 4912 and 4920 = 3020880

Step 1: Find the prime factorization of 4912

4912 = 2 x 2 x 2 x 2 x 307

Step 2: Find the prime factorization of 4920

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

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

LCM = 3020880 = 2 x 2 x 2 x 2 x 3 x 5 x 41 x 307

Step 4: Therefore, the least common multiple of 4912 and 4920 is 3020880.