Least Common Multiple of 4925 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 4925 and 4932 the smallest integer that is 24290100 that is divisible by both numbers.

Least Common Multiple (LCM) of 4925 and 4932 is 24290100.

LCM(4925,4932) = 24290100

LCM of 4925 and 4932

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

LCM of:
and

Least Common Multiple of 4925 and 4932

LCM of 4925 and 4932 is 24290100

Least common multiple can be found by multiplying the highest exponent prime factors of 4925 and 4932. First we will calculate the prime factors of 4925 and 4932.

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 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 4925 and 4932.

LCM(4925,4932) = 22×32×52×1371×1971
LCM(4925,4932) = 24290100

Factors of 4925

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

1, 5, 25, 197, 985, 4925

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 4925 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 4925 and 4932, than apply into the LCM equation.

GCF(4925,4932) = 1
LCM(4925,4932) = ( 4925 × 4932) / 1
LCM(4925,4932) = 24290100 / 1
LCM(4925,4932) = 24290100

Properties of LCM 4925 and 4932

(i) The LCM of 4932 and 4925 is associative

LCM of 4925 and 4932 = LCM of 4932 and 4925

Related Least Common Multiples of 4925

Related Least Common Multiples of 4932

Frequently Asked Questions on LCM of 4925 and 4932

1. What is the LCM of 4925 and 4932?

Answer: LCM of 4925 and 4932 is 24290100.

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 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 4925 and 4932?

Answer:

Least Common Multiple of 4925 and 4932 = 24290100

Step 1: Find the prime factorization of 4925

4925 = 5 x 5 x 197

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 = 24290100 = 2 x 2 x 3 x 3 x 5 x 5 x 137 x 197

Step 4: Therefore, the least common multiple of 4925 and 4932 is 24290100.