Least Common Multiple of 1926 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 1926 and 1930 the smallest integer that is 1858590 that is divisible by both numbers.

Least Common Multiple (LCM) of 1926 and 1930 is 1858590.

LCM(1926,1930) = 1858590

LCM of 1926 and 1930

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

LCM of:
and

Least Common Multiple of 1926 and 1930

LCM of 1926 and 1930 is 1858590

Least common multiple can be found by multiplying the highest exponent prime factors of 1926 and 1930. First we will calculate the prime factors of 1926 and 1930.

Prime Factorization of 1926


2 1926
3 963
3 321
107 107
1

Prime factors of 1926 are 2, 3,107. Prime factorization of 1926 in exponential form is:

1926 = 21×32×1071

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 1926 and 1930.

LCM(1926,1930) = 21×32×51×1071×1931
LCM(1926,1930) = 1858590

Factors of 1926

List of positive integer factors of 1926 that divides 1926 without a remainder.

1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926

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 1926 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 1926 and 1930, than apply into the LCM equation.

GCF(1926,1930) = 2
LCM(1926,1930) = ( 1926 × 1930) / 2
LCM(1926,1930) = 3717180 / 2
LCM(1926,1930) = 1858590

Properties of LCM 1926 and 1930

(i) The LCM of 1930 and 1926 is associative

LCM of 1926 and 1930 = LCM of 1930 and 1926

Related Least Common Multiples of 1926

Related Least Common Multiples of 1930

Frequently Asked Questions on LCM of 1926 and 1930

1. What is the LCM of 1926 and 1930?

Answer: LCM of 1926 and 1930 is 1858590.

2. What are the Factors of 1926?

Answer: Factors of 1926 are 1, 2, 3, 6, 9, 18, 107, 214, 321, 642, 963, 1926. There are 12 integers that are factors of 1926. The greatest factor of 1926 is 1926.

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 1926 and 1930?

Answer:

Least Common Multiple of 1926 and 1930 = 1858590

Step 1: Find the prime factorization of 1926

1926 = 2 x 3 x 3 x 107

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 = 1858590 = 2 x 3 x 3 x 5 x 107 x 193

Step 4: Therefore, the least common multiple of 1926 and 1930 is 1858590.