Least Common Multiple of 1940 and 1945

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 1945 the smallest integer that is 754660 that is divisible by both numbers.

Least Common Multiple (LCM) of 1940 and 1945 is 754660.

LCM(1940,1945) = 754660

LCM of 1940 and 1945

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

LCM of:
and

Least Common Multiple of 1940 and 1945

LCM of 1940 and 1945 is 754660

Least common multiple can be found by multiplying the highest exponent prime factors of 1940 and 1945. First we will calculate the prime factors of 1940 and 1945.

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 1945


5 1945
389 389
1

Prime factors of 1945 are 5,389. Prime factorization of 1945 in exponential form is:

1945 = 51×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 1940 and 1945.

LCM(1940,1945) = 22×51×971×3891
LCM(1940,1945) = 754660

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 1945

List of positive integer factors of 1945 that divides 1945 without a remainder.

1, 5, 389, 1945

Least Common Multiple of 1940 and 1945 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 1945, than apply into the LCM equation.

GCF(1940,1945) = 5
LCM(1940,1945) = ( 1940 × 1945) / 5
LCM(1940,1945) = 3773300 / 5
LCM(1940,1945) = 754660

Properties of LCM 1940 and 1945

(i) The LCM of 1945 and 1940 is associative

LCM of 1940 and 1945 = LCM of 1945 and 1940

Related Least Common Multiples of 1940

Related Least Common Multiples of 1945

Frequently Asked Questions on LCM of 1940 and 1945

1. What is the LCM of 1940 and 1945?

Answer: LCM of 1940 and 1945 is 754660.

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 1945?

Answer: Factors of 1945 are 1, 5, 389, 1945. There are 4 integers that are factors of 1945. The greatest factor of 1945 is 1945.

4. How to Find the LCM of 1940 and 1945?

Answer:

Least Common Multiple of 1940 and 1945 = 754660

Step 1: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

Step 2: Find the prime factorization of 1945

1945 = 5 x 389

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

LCM = 754660 = 2 x 2 x 5 x 97 x 389

Step 4: Therefore, the least common multiple of 1940 and 1945 is 754660.