Least Common Multiple of 1940 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 1940 and 1942 the smallest integer that is 1883740 that is divisible by both numbers.

Least Common Multiple (LCM) of 1940 and 1942 is 1883740.

LCM(1940,1942) = 1883740

LCM of 1940 and 1942

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

LCM of:
and

Least Common Multiple of 1940 and 1942

LCM of 1940 and 1942 is 1883740

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1942. First we will calculate the prime factors of 1940 and 1942.

Prime Factorization of 1940


2 1940
2 970
5 485
97 97
1

Prime factors of 1940 are 2, 5,97. Prime factorization of 1940 in exponential form is:

1940 = 22×51×971

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 1940 and 1942.

LCM(1940,1942) = 22×51×971×9711
LCM(1940,1942) = 1883740

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940

Factors of 1942

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

1, 2, 971, 1942

Least Common Multiple of 1940 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 1940 and 1942, than apply into the LCM equation.

GCF(1940,1942) = 2
LCM(1940,1942) = ( 1940 × 1942) / 2
LCM(1940,1942) = 3767480 / 2
LCM(1940,1942) = 1883740

Properties of LCM 1940 and 1942

(i) The LCM of 1942 and 1940 is associative

LCM of 1940 and 1942 = LCM of 1942 and 1940

Related Least Common Multiples of 1940

Related Least Common Multiples of 1942

Frequently Asked Questions on LCM of 1940 and 1942

1. What is the LCM of 1940 and 1942?

Answer: LCM of 1940 and 1942 is 1883740.

2. What are the Factors of 1940?

Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.

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 1940 and 1942?

Answer:

Least Common Multiple of 1940 and 1942 = 1883740

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

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 = 1883740 = 2 x 2 x 5 x 97 x 971

Step 4: Therefore, the least common multiple of 1940 and 1942 is 1883740.