Least Common Multiple of 3939 and 3945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3939 and 3945 the smallest integer that is 5179785 that is divisible by both numbers.

Least Common Multiple (LCM) of 3939 and 3945 is 5179785.

LCM(3939,3945) = 5179785

LCM of 3939 and 3945

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

LCM of:
and

Least Common Multiple of 3939 and 3945

LCM of 3939 and 3945 is 5179785

Least common multiple can be found by multiplying the highest exponent prime factors of 3939 and 3945. First we will calculate the prime factors of 3939 and 3945.

Prime Factorization of 3939


3 3939
13 1313
101 101
1

Prime factors of 3939 are 3, 13,101. Prime factorization of 3939 in exponential form is:

3939 = 31×131×1011

Prime Factorization of 3945


3 3945
5 1315
263 263
1

Prime factors of 3945 are 3, 5,263. Prime factorization of 3945 in exponential form is:

3945 = 31×51×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 3939 and 3945.

LCM(3939,3945) = 31×51×131×1011×2631
LCM(3939,3945) = 5179785

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1, 3, 13, 39, 101, 303, 1313, 3939

Factors of 3945

List of positive integer factors of 3945 that divides 3945 without a remainder.

1, 3, 5, 15, 263, 789, 1315, 3945

Least Common Multiple of 3939 and 3945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3939 and 3945, than apply into the LCM equation.

GCF(3939,3945) = 3
LCM(3939,3945) = ( 3939 × 3945) / 3
LCM(3939,3945) = 15539355 / 3
LCM(3939,3945) = 5179785

Properties of LCM 3939 and 3945

(i) The LCM of 3945 and 3939 is associative

LCM of 3939 and 3945 = LCM of 3945 and 3939

Related Least Common Multiples of 3939

Related Least Common Multiples of 3945

Frequently Asked Questions on LCM of 3939 and 3945

1. What is the LCM of 3939 and 3945?

Answer: LCM of 3939 and 3945 is 5179785.

2. What are the Factors of 3939?

Answer: Factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939. There are 8 integers that are factors of 3939. The greatest factor of 3939 is 3939.

3. What are the Factors of 3945?

Answer: Factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945. There are 8 integers that are factors of 3945. The greatest factor of 3945 is 3945.

4. How to Find the LCM of 3939 and 3945?

Answer:

Least Common Multiple of 3939 and 3945 = 5179785

Step 1: Find the prime factorization of 3939

3939 = 3 x 13 x 101

Step 2: Find the prime factorization of 3945

3945 = 3 x 5 x 263

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

LCM = 5179785 = 3 x 5 x 13 x 101 x 263

Step 4: Therefore, the least common multiple of 3939 and 3945 is 5179785.