Least Common Multiple of 1939 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 1939 and 1945 the smallest integer that is 3771355 that is divisible by both numbers.

Least Common Multiple (LCM) of 1939 and 1945 is 3771355.

LCM(1939,1945) = 3771355

LCM of 1939 and 1945

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

LCM of:
and

Least Common Multiple of 1939 and 1945

LCM of 1939 and 1945 is 3771355

Least common multiple can be found by multiplying the highest exponent prime factors of 1939 and 1945. First we will calculate the prime factors of 1939 and 1945.

Prime Factorization of 1939


7 1939
277 277
1

Prime factors of 1939 are 7,277. Prime factorization of 1939 in exponential form is:

1939 = 71×2771

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 1939 and 1945.

LCM(1939,1945) = 51×71×2771×3891
LCM(1939,1945) = 3771355

Factors of 1939

List of positive integer factors of 1939 that divides 1939 without a remainder.

1, 7, 277, 1939

Factors of 1945

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

1, 5, 389, 1945

Least Common Multiple of 1939 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 1939 and 1945, than apply into the LCM equation.

GCF(1939,1945) = 1
LCM(1939,1945) = ( 1939 × 1945) / 1
LCM(1939,1945) = 3771355 / 1
LCM(1939,1945) = 3771355

Properties of LCM 1939 and 1945

(i) The LCM of 1945 and 1939 is associative

LCM of 1939 and 1945 = LCM of 1945 and 1939

Related Least Common Multiples of 1939

Related Least Common Multiples of 1945

Frequently Asked Questions on LCM of 1939 and 1945

1. What is the LCM of 1939 and 1945?

Answer: LCM of 1939 and 1945 is 3771355.

2. What are the Factors of 1939?

Answer: Factors of 1939 are 1, 7, 277, 1939. There are 4 integers that are factors of 1939. The greatest factor of 1939 is 1939.

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 1939 and 1945?

Answer:

Least Common Multiple of 1939 and 1945 = 3771355

Step 1: Find the prime factorization of 1939

1939 = 7 x 277

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 = 3771355 = 5 x 7 x 277 x 389

Step 4: Therefore, the least common multiple of 1939 and 1945 is 3771355.