Least Common Multiple of 4925 and 4929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4925 and 4929 the smallest integer that is 24275325 that is divisible by both numbers.

Least Common Multiple (LCM) of 4925 and 4929 is 24275325.

LCM(4925,4929) = 24275325

LCM of 4925 and 4929

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

LCM of:
and

Least Common Multiple of 4925 and 4929

LCM of 4925 and 4929 is 24275325

Least common multiple can be found by multiplying the highest exponent prime factors of 4925 and 4929. First we will calculate the prime factors of 4925 and 4929.

Prime Factorization of 4925


5 4925
5 985
197 197
1

Prime factors of 4925 are 5,197. Prime factorization of 4925 in exponential form is:

4925 = 52×1971

Prime Factorization of 4929


3 4929
31 1643
53 53
1

Prime factors of 4929 are 3, 31,53. Prime factorization of 4929 in exponential form is:

4929 = 31×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4925 and 4929.

LCM(4925,4929) = 31×52×311×531×1971
LCM(4925,4929) = 24275325

Factors of 4925

List of positive integer factors of 4925 that divides 4925 without a remainder.

1, 5, 25, 197, 985, 4925

Factors of 4929

List of positive integer factors of 4929 that divides 4929 without a remainder.

1, 3, 31, 53, 93, 159, 1643, 4929

Least Common Multiple of 4925 and 4929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4925 and 4929, than apply into the LCM equation.

GCF(4925,4929) = 1
LCM(4925,4929) = ( 4925 × 4929) / 1
LCM(4925,4929) = 24275325 / 1
LCM(4925,4929) = 24275325

Properties of LCM 4925 and 4929

(i) The LCM of 4929 and 4925 is associative

LCM of 4925 and 4929 = LCM of 4929 and 4925

Related Least Common Multiples of 4925

Related Least Common Multiples of 4929

Frequently Asked Questions on LCM of 4925 and 4929

1. What is the LCM of 4925 and 4929?

Answer: LCM of 4925 and 4929 is 24275325.

2. What are the Factors of 4925?

Answer: Factors of 4925 are 1, 5, 25, 197, 985, 4925. There are 6 integers that are factors of 4925. The greatest factor of 4925 is 4925.

3. What are the Factors of 4929?

Answer: Factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929. There are 8 integers that are factors of 4929. The greatest factor of 4929 is 4929.

4. How to Find the LCM of 4925 and 4929?

Answer:

Least Common Multiple of 4925 and 4929 = 24275325

Step 1: Find the prime factorization of 4925

4925 = 5 x 5 x 197

Step 2: Find the prime factorization of 4929

4929 = 3 x 31 x 53

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

LCM = 24275325 = 3 x 5 x 5 x 31 x 53 x 197

Step 4: Therefore, the least common multiple of 4925 and 4929 is 24275325.