Least Common Multiple of 1936 and 1942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1936 and 1942 the smallest integer that is 1879856 that is divisible by both numbers.

Least Common Multiple (LCM) of 1936 and 1942 is 1879856.

LCM(1936,1942) = 1879856

LCM of 1936 and 1942

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

LCM of:
and

Least Common Multiple of 1936 and 1942

LCM of 1936 and 1942 is 1879856

Least common multiple can be found by multiplying the highest exponent prime factors of 1936 and 1942. First we will calculate the prime factors of 1936 and 1942.

Prime Factorization of 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Prime Factorization of 1942


2 1942
971 971
1

Prime factors of 1942 are 2,971. Prime factorization of 1942 in exponential form is:

1942 = 21×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 1936 and 1942.

LCM(1936,1942) = 24×112×9711
LCM(1936,1942) = 1879856

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

Factors of 1942

List of positive integer factors of 1942 that divides 1942 without a remainder.

1, 2, 971, 1942

Least Common Multiple of 1936 and 1942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1936 and 1942, than apply into the LCM equation.

GCF(1936,1942) = 2
LCM(1936,1942) = ( 1936 × 1942) / 2
LCM(1936,1942) = 3759712 / 2
LCM(1936,1942) = 1879856

Properties of LCM 1936 and 1942

(i) The LCM of 1942 and 1936 is associative

LCM of 1936 and 1942 = LCM of 1942 and 1936

Related Least Common Multiples of 1936

Related Least Common Multiples of 1942

Frequently Asked Questions on LCM of 1936 and 1942

1. What is the LCM of 1936 and 1942?

Answer: LCM of 1936 and 1942 is 1879856.

2. What are the Factors of 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

3. What are the Factors of 1942?

Answer: Factors of 1942 are 1, 2, 971, 1942. There are 4 integers that are factors of 1942. The greatest factor of 1942 is 1942.

4. How to Find the LCM of 1936 and 1942?

Answer:

Least Common Multiple of 1936 and 1942 = 1879856

Step 1: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 1942

1942 = 2 x 971

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

LCM = 1879856 = 2 x 2 x 2 x 2 x 11 x 11 x 971

Step 4: Therefore, the least common multiple of 1936 and 1942 is 1879856.