Least Common Multiple of 1922 and 1925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1922 and 1925 the smallest integer that is 3699850 that is divisible by both numbers.

Least Common Multiple (LCM) of 1922 and 1925 is 3699850.

LCM(1922,1925) = 3699850

LCM of 1922 and 1925

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

LCM of:
and

Least Common Multiple of 1922 and 1925

LCM of 1922 and 1925 is 3699850

Least common multiple can be found by multiplying the highest exponent prime factors of 1922 and 1925. First we will calculate the prime factors of 1922 and 1925.

Prime Factorization of 1922


2 1922
31 961
31 31
1

Prime factors of 1922 are 2,31. Prime factorization of 1922 in exponential form is:

1922 = 21×312

Prime Factorization of 1925


5 1925
5 385
7 77
11 11
1

Prime factors of 1925 are 5, 7,11. Prime factorization of 1925 in exponential form is:

1925 = 52×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 1922 and 1925.

LCM(1922,1925) = 21×52×71×111×312
LCM(1922,1925) = 3699850

Factors of 1922

List of positive integer factors of 1922 that divides 1922 without a remainder.

1, 2, 31, 62, 961, 1922

Factors of 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925

Least Common Multiple of 1922 and 1925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1922 and 1925, than apply into the LCM equation.

GCF(1922,1925) = 1
LCM(1922,1925) = ( 1922 × 1925) / 1
LCM(1922,1925) = 3699850 / 1
LCM(1922,1925) = 3699850

Properties of LCM 1922 and 1925

(i) The LCM of 1925 and 1922 is associative

LCM of 1922 and 1925 = LCM of 1925 and 1922

Related Least Common Multiples of 1922

Related Least Common Multiples of 1925

Frequently Asked Questions on LCM of 1922 and 1925

1. What is the LCM of 1922 and 1925?

Answer: LCM of 1922 and 1925 is 3699850.

2. What are the Factors of 1922?

Answer: Factors of 1922 are 1, 2, 31, 62, 961, 1922. There are 6 integers that are factors of 1922. The greatest factor of 1922 is 1922.

3. What are the Factors of 1925?

Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.

4. How to Find the LCM of 1922 and 1925?

Answer:

Least Common Multiple of 1922 and 1925 = 3699850

Step 1: Find the prime factorization of 1922

1922 = 2 x 31 x 31

Step 2: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

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

LCM = 3699850 = 2 x 5 x 5 x 7 x 11 x 31 x 31

Step 4: Therefore, the least common multiple of 1922 and 1925 is 3699850.