Least Common Multiple of 1922 and 1930

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 1930 the smallest integer that is 1854730 that is divisible by both numbers.

Least Common Multiple (LCM) of 1922 and 1930 is 1854730.

LCM(1922,1930) = 1854730

LCM of 1922 and 1930

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

LCM of:
and

Least Common Multiple of 1922 and 1930

LCM of 1922 and 1930 is 1854730

Least common multiple can be found by multiplying the highest exponent prime factors of 1922 and 1930. First we will calculate the prime factors of 1922 and 1930.

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 1930


2 1930
5 965
193 193
1

Prime factors of 1930 are 2, 5,193. Prime factorization of 1930 in exponential form is:

1930 = 21×51×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 1922 and 1930.

LCM(1922,1930) = 21×51×312×1931
LCM(1922,1930) = 1854730

Factors of 1922

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

1, 2, 31, 62, 961, 1922

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1, 2, 5, 10, 193, 386, 965, 1930

Least Common Multiple of 1922 and 1930 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 1930, than apply into the LCM equation.

GCF(1922,1930) = 2
LCM(1922,1930) = ( 1922 × 1930) / 2
LCM(1922,1930) = 3709460 / 2
LCM(1922,1930) = 1854730

Properties of LCM 1922 and 1930

(i) The LCM of 1930 and 1922 is associative

LCM of 1922 and 1930 = LCM of 1930 and 1922

Related Least Common Multiples of 1922

Related Least Common Multiples of 1930

Frequently Asked Questions on LCM of 1922 and 1930

1. What is the LCM of 1922 and 1930?

Answer: LCM of 1922 and 1930 is 1854730.

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 1930?

Answer: Factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930. There are 8 integers that are factors of 1930. The greatest factor of 1930 is 1930.

4. How to Find the LCM of 1922 and 1930?

Answer:

Least Common Multiple of 1922 and 1930 = 1854730

Step 1: Find the prime factorization of 1922

1922 = 2 x 31 x 31

Step 2: Find the prime factorization of 1930

1930 = 2 x 5 x 193

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

LCM = 1854730 = 2 x 5 x 31 x 31 x 193

Step 4: Therefore, the least common multiple of 1922 and 1930 is 1854730.