Least Common Multiple of 3920 and 3925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3920 and 3925 the smallest integer that is 3077200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3920 and 3925 is 3077200.

LCM(3920,3925) = 3077200

LCM of 3920 and 3925

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

LCM of:
and

Least Common Multiple of 3920 and 3925

LCM of 3920 and 3925 is 3077200

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3925. First we will calculate the prime factors of 3920 and 3925.

Prime Factorization of 3920


2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 3920 are 2, 5,7. Prime factorization of 3920 in exponential form is:

3920 = 24×51×72

Prime Factorization of 3925


5 3925
5 785
157 157
1

Prime factors of 3925 are 5,157. Prime factorization of 3925 in exponential form is:

3925 = 52×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3925.

LCM(3920,3925) = 24×52×72×1571
LCM(3920,3925) = 3077200

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920

Factors of 3925

List of positive integer factors of 3925 that divides 3925 without a remainder.

1, 5, 25, 157, 785, 3925

Least Common Multiple of 3920 and 3925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3920 and 3925, than apply into the LCM equation.

GCF(3920,3925) = 5
LCM(3920,3925) = ( 3920 × 3925) / 5
LCM(3920,3925) = 15386000 / 5
LCM(3920,3925) = 3077200

Properties of LCM 3920 and 3925

(i) The LCM of 3925 and 3920 is associative

LCM of 3920 and 3925 = LCM of 3925 and 3920

Related Least Common Multiples of 3920

Related Least Common Multiples of 3925

Frequently Asked Questions on LCM of 3920 and 3925

1. What is the LCM of 3920 and 3925?

Answer: LCM of 3920 and 3925 is 3077200.

2. What are the Factors of 3920?

Answer: Factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920. There are 30 integers that are factors of 3920. The greatest factor of 3920 is 3920.

3. What are the Factors of 3925?

Answer: Factors of 3925 are 1, 5, 25, 157, 785, 3925. There are 6 integers that are factors of 3925. The greatest factor of 3925 is 3925.

4. How to Find the LCM of 3920 and 3925?

Answer:

Least Common Multiple of 3920 and 3925 = 3077200

Step 1: Find the prime factorization of 3920

3920 = 2 x 2 x 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 3925

3925 = 5 x 5 x 157

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

LCM = 3077200 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 7 x 157

Step 4: Therefore, the least common multiple of 3920 and 3925 is 3077200.