Least Common Multiple of 4918 and 4925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4918 and 4925 the smallest integer that is 24221150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4918 and 4925 is 24221150.

LCM(4918,4925) = 24221150

LCM of 4918 and 4925

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

LCM of:
and

Least Common Multiple of 4918 and 4925

LCM of 4918 and 4925 is 24221150

Least common multiple can be found by multiplying the highest exponent prime factors of 4918 and 4925. First we will calculate the prime factors of 4918 and 4925.

Prime Factorization of 4918


2 4918
2459 2459
1

Prime factors of 4918 are 2,2459. Prime factorization of 4918 in exponential form is:

4918 = 21×24591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4918 and 4925.

LCM(4918,4925) = 21×52×1971×24591
LCM(4918,4925) = 24221150

Factors of 4918

List of positive integer factors of 4918 that divides 4918 without a remainder.

1, 2, 2459, 4918

Factors of 4925

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

1, 5, 25, 197, 985, 4925

Least Common Multiple of 4918 and 4925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4918 and 4925, than apply into the LCM equation.

GCF(4918,4925) = 1
LCM(4918,4925) = ( 4918 × 4925) / 1
LCM(4918,4925) = 24221150 / 1
LCM(4918,4925) = 24221150

Properties of LCM 4918 and 4925

(i) The LCM of 4925 and 4918 is associative

LCM of 4918 and 4925 = LCM of 4925 and 4918

Related Least Common Multiples of 4918

Related Least Common Multiples of 4925

Frequently Asked Questions on LCM of 4918 and 4925

1. What is the LCM of 4918 and 4925?

Answer: LCM of 4918 and 4925 is 24221150.

2. What are the Factors of 4918?

Answer: Factors of 4918 are 1, 2, 2459, 4918. There are 4 integers that are factors of 4918. The greatest factor of 4918 is 4918.

3. 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.

4. How to Find the LCM of 4918 and 4925?

Answer:

Least Common Multiple of 4918 and 4925 = 24221150

Step 1: Find the prime factorization of 4918

4918 = 2 x 2459

Step 2: Find the prime factorization of 4925

4925 = 5 x 5 x 197

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

LCM = 24221150 = 2 x 5 x 5 x 197 x 2459

Step 4: Therefore, the least common multiple of 4918 and 4925 is 24221150.