Least Common Multiple of 4932 and 4940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4932 and 4940 the smallest integer that is 6091020 that is divisible by both numbers.

Least Common Multiple (LCM) of 4932 and 4940 is 6091020.

LCM(4932,4940) = 6091020

LCM of 4932 and 4940

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

LCM of:
and

Least Common Multiple of 4932 and 4940

LCM of 4932 and 4940 is 6091020

Least common multiple can be found by multiplying the highest exponent prime factors of 4932 and 4940. First we will calculate the prime factors of 4932 and 4940.

Prime Factorization of 4932


2 4932
2 2466
3 1233
3 411
137 137
1

Prime factors of 4932 are 2, 3,137. Prime factorization of 4932 in exponential form is:

4932 = 22×32×1371

Prime Factorization of 4940


2 4940
2 2470
5 1235
13 247
19 19
1

Prime factors of 4940 are 2, 5, 13,19. Prime factorization of 4940 in exponential form is:

4940 = 22×51×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4932 and 4940.

LCM(4932,4940) = 22×32×51×131×191×1371
LCM(4932,4940) = 6091020

Factors of 4932

List of positive integer factors of 4932 that divides 4932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940

Least Common Multiple of 4932 and 4940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4932 and 4940, than apply into the LCM equation.

GCF(4932,4940) = 4
LCM(4932,4940) = ( 4932 × 4940) / 4
LCM(4932,4940) = 24364080 / 4
LCM(4932,4940) = 6091020

Properties of LCM 4932 and 4940

(i) The LCM of 4940 and 4932 is associative

LCM of 4932 and 4940 = LCM of 4940 and 4932

Related Least Common Multiples of 4932

Related Least Common Multiples of 4940

Frequently Asked Questions on LCM of 4932 and 4940

1. What is the LCM of 4932 and 4940?

Answer: LCM of 4932 and 4940 is 6091020.

2. What are the Factors of 4932?

Answer: Factors of 4932 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 137, 274, 411, 548, 822, 1233, 1644, 2466, 4932. There are 18 integers that are factors of 4932. The greatest factor of 4932 is 4932.

3. What are the Factors of 4940?

Answer: Factors of 4940 are 1, 2, 4, 5, 10, 13, 19, 20, 26, 38, 52, 65, 76, 95, 130, 190, 247, 260, 380, 494, 988, 1235, 2470, 4940. There are 24 integers that are factors of 4940. The greatest factor of 4940 is 4940.

4. How to Find the LCM of 4932 and 4940?

Answer:

Least Common Multiple of 4932 and 4940 = 6091020

Step 1: Find the prime factorization of 4932

4932 = 2 x 2 x 3 x 3 x 137

Step 2: Find the prime factorization of 4940

4940 = 2 x 2 x 5 x 13 x 19

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

LCM = 6091020 = 2 x 2 x 3 x 3 x 5 x 13 x 19 x 137

Step 4: Therefore, the least common multiple of 4932 and 4940 is 6091020.