Least Common Multiple of 4925 and 4931

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 4931 the smallest integer that is 24285175 that is divisible by both numbers.

Least Common Multiple (LCM) of 4925 and 4931 is 24285175.

LCM(4925,4931) = 24285175

LCM of 4925 and 4931

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

LCM of:
and

Least Common Multiple of 4925 and 4931

LCM of 4925 and 4931 is 24285175

Least common multiple can be found by multiplying the highest exponent prime factors of 4925 and 4931. First we will calculate the prime factors of 4925 and 4931.

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 4931


4931 4931
1

Prime factors of 4931 are 4931. Prime factorization of 4931 in exponential form is:

4931 = 49311

Now multiplying the highest exponent prime factors to calculate the LCM of 4925 and 4931.

LCM(4925,4931) = 52×1971×49311
LCM(4925,4931) = 24285175

Factors of 4925

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

1, 5, 25, 197, 985, 4925

Factors of 4931

List of positive integer factors of 4931 that divides 4931 without a remainder.

1, 4931

Least Common Multiple of 4925 and 4931 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 4931, than apply into the LCM equation.

GCF(4925,4931) = 1
LCM(4925,4931) = ( 4925 × 4931) / 1
LCM(4925,4931) = 24285175 / 1
LCM(4925,4931) = 24285175

Properties of LCM 4925 and 4931

(i) The LCM of 4931 and 4925 is associative

LCM of 4925 and 4931 = LCM of 4931 and 4925

Related Least Common Multiples of 4925

Related Least Common Multiples of 4931

Frequently Asked Questions on LCM of 4925 and 4931

1. What is the LCM of 4925 and 4931?

Answer: LCM of 4925 and 4931 is 24285175.

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 4931?

Answer: Factors of 4931 are 1, 4931. There are 2 integers that are factors of 4931. The greatest factor of 4931 is 4931.

4. How to Find the LCM of 4925 and 4931?

Answer:

Least Common Multiple of 4925 and 4931 = 24285175

Step 1: Find the prime factorization of 4925

4925 = 5 x 5 x 197

Step 2: Find the prime factorization of 4931

4931 = 4931

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

LCM = 24285175 = 5 x 5 x 197 x 4931

Step 4: Therefore, the least common multiple of 4925 and 4931 is 24285175.