Least Common Multiple of 1940 and 1948

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 1948 the smallest integer that is 944780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1940 and 1948 is 944780.

LCM(1940,1948) = 944780

LCM of 1940 and 1948

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

LCM of:
and

Least Common Multiple of 1940 and 1948

LCM of 1940 and 1948 is 944780

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1948. First we will calculate the prime factors of 1940 and 1948.

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 1948


2 1948
2 974
487 487
1

Prime factors of 1948 are 2,487. Prime factorization of 1948 in exponential form is:

1948 = 22×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1948.

LCM(1940,1948) = 22×51×971×4871
LCM(1940,1948) = 944780

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 1948

List of positive integer factors of 1948 that divides 1948 without a remainder.

1, 2, 4, 487, 974, 1948

Least Common Multiple of 1940 and 1948 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 1948, than apply into the LCM equation.

GCF(1940,1948) = 4
LCM(1940,1948) = ( 1940 × 1948) / 4
LCM(1940,1948) = 3779120 / 4
LCM(1940,1948) = 944780

Properties of LCM 1940 and 1948

(i) The LCM of 1948 and 1940 is associative

LCM of 1940 and 1948 = LCM of 1948 and 1940

Related Least Common Multiples of 1940

Related Least Common Multiples of 1948

Frequently Asked Questions on LCM of 1940 and 1948

1. What is the LCM of 1940 and 1948?

Answer: LCM of 1940 and 1948 is 944780.

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 1948?

Answer: Factors of 1948 are 1, 2, 4, 487, 974, 1948. There are 6 integers that are factors of 1948. The greatest factor of 1948 is 1948.

4. How to Find the LCM of 1940 and 1948?

Answer:

Least Common Multiple of 1940 and 1948 = 944780

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 1948

1948 = 2 x 2 x 487

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

LCM = 944780 = 2 x 2 x 5 x 97 x 487

Step 4: Therefore, the least common multiple of 1940 and 1948 is 944780.