Least Common Multiple of 4930 and 4932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4930 and 4932 the smallest integer that is 12157380 that is divisible by both numbers.

Least Common Multiple (LCM) of 4930 and 4932 is 12157380.

LCM(4930,4932) = 12157380

LCM of 4930 and 4932

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

LCM of:
and

Least Common Multiple of 4930 and 4932

LCM of 4930 and 4932 is 12157380

Least common multiple can be found by multiplying the highest exponent prime factors of 4930 and 4932. First we will calculate the prime factors of 4930 and 4932.

Prime Factorization of 4930


2 4930
5 2465
17 493
29 29
1

Prime factors of 4930 are 2, 5, 17,29. Prime factorization of 4930 in exponential form is:

4930 = 21×51×171×291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4930 and 4932.

LCM(4930,4932) = 22×32×51×171×291×1371
LCM(4930,4932) = 12157380

Factors of 4930

List of positive integer factors of 4930 that divides 4930 without a remainder.

1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930

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

Least Common Multiple of 4930 and 4932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4930 and 4932, than apply into the LCM equation.

GCF(4930,4932) = 2
LCM(4930,4932) = ( 4930 × 4932) / 2
LCM(4930,4932) = 24314760 / 2
LCM(4930,4932) = 12157380

Properties of LCM 4930 and 4932

(i) The LCM of 4932 and 4930 is associative

LCM of 4930 and 4932 = LCM of 4932 and 4930

Related Least Common Multiples of 4930

Related Least Common Multiples of 4932

Frequently Asked Questions on LCM of 4930 and 4932

1. What is the LCM of 4930 and 4932?

Answer: LCM of 4930 and 4932 is 12157380.

2. What are the Factors of 4930?

Answer: Factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930. There are 16 integers that are factors of 4930. The greatest factor of 4930 is 4930.

3. 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.

4. How to Find the LCM of 4930 and 4932?

Answer:

Least Common Multiple of 4930 and 4932 = 12157380

Step 1: Find the prime factorization of 4930

4930 = 2 x 5 x 17 x 29

Step 2: Find the prime factorization of 4932

4932 = 2 x 2 x 3 x 3 x 137

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

LCM = 12157380 = 2 x 2 x 3 x 3 x 5 x 17 x 29 x 137

Step 4: Therefore, the least common multiple of 4930 and 4932 is 12157380.