Least Common Multiple of 1930 and 1932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1930 and 1932 the smallest integer that is 1864380 that is divisible by both numbers.

Least Common Multiple (LCM) of 1930 and 1932 is 1864380.

LCM(1930,1932) = 1864380

LCM of 1930 and 1932

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

LCM of:
and

Least Common Multiple of 1930 and 1932

LCM of 1930 and 1932 is 1864380

Least common multiple can be found by multiplying the highest exponent prime factors of 1930 and 1932. First we will calculate the prime factors of 1930 and 1932.

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

Prime Factorization of 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2, 3, 7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1930 and 1932.

LCM(1930,1932) = 22×31×51×71×231×1931
LCM(1930,1932) = 1864380

Factors of 1930

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

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

Factors of 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932

Least Common Multiple of 1930 and 1932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1930 and 1932, than apply into the LCM equation.

GCF(1930,1932) = 2
LCM(1930,1932) = ( 1930 × 1932) / 2
LCM(1930,1932) = 3728760 / 2
LCM(1930,1932) = 1864380

Properties of LCM 1930 and 1932

(i) The LCM of 1932 and 1930 is associative

LCM of 1930 and 1932 = LCM of 1932 and 1930

Related Least Common Multiples of 1930

Related Least Common Multiples of 1932

Frequently Asked Questions on LCM of 1930 and 1932

1. What is the LCM of 1930 and 1932?

Answer: LCM of 1930 and 1932 is 1864380.

2. 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.

3. What are the Factors of 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

4. How to Find the LCM of 1930 and 1932?

Answer:

Least Common Multiple of 1930 and 1932 = 1864380

Step 1: Find the prime factorization of 1930

1930 = 2 x 5 x 193

Step 2: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

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

LCM = 1864380 = 2 x 2 x 3 x 5 x 7 x 23 x 193

Step 4: Therefore, the least common multiple of 1930 and 1932 is 1864380.