Least Common Multiple of 1924 and 1926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1924 and 1926 the smallest integer that is 1852812 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1926 is 1852812.

LCM(1924,1926) = 1852812

LCM of 1924 and 1926

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

LCM of:
and

Least Common Multiple of 1924 and 1926

LCM of 1924 and 1926 is 1852812

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1926. First we will calculate the prime factors of 1924 and 1926.

Prime Factorization of 1924


2 1924
2 962
13 481
37 37
1

Prime factors of 1924 are 2, 13,37. Prime factorization of 1924 in exponential form is:

1924 = 22×131×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1924 and 1926.

LCM(1924,1926) = 22×32×131×371×1071
LCM(1924,1926) = 1852812

Factors of 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

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

Least Common Multiple of 1924 and 1926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1924 and 1926, than apply into the LCM equation.

GCF(1924,1926) = 2
LCM(1924,1926) = ( 1924 × 1926) / 2
LCM(1924,1926) = 3705624 / 2
LCM(1924,1926) = 1852812

Properties of LCM 1924 and 1926

(i) The LCM of 1926 and 1924 is associative

LCM of 1924 and 1926 = LCM of 1926 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1926

Frequently Asked Questions on LCM of 1924 and 1926

1. What is the LCM of 1924 and 1926?

Answer: LCM of 1924 and 1926 is 1852812.

2. What are the Factors of 1924?

Answer: Factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924. There are 12 integers that are factors of 1924. The greatest factor of 1924 is 1924.

3. 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.

4. How to Find the LCM of 1924 and 1926?

Answer:

Least Common Multiple of 1924 and 1926 = 1852812

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 1926

1926 = 2 x 3 x 3 x 107

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

LCM = 1852812 = 2 x 2 x 3 x 3 x 13 x 37 x 107

Step 4: Therefore, the least common multiple of 1924 and 1926 is 1852812.