Least Common Multiple of 3942 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 3942 and 3945 the smallest integer that is 5183730 that is divisible by both numbers.

Least Common Multiple (LCM) of 3942 and 3945 is 5183730.

LCM(3942,3945) = 5183730

LCM of 3942 and 3945

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

LCM of:
and

Least Common Multiple of 3942 and 3945

LCM of 3942 and 3945 is 5183730

Least common multiple can be found by multiplying the highest exponent prime factors of 3942 and 3945. First we will calculate the prime factors of 3942 and 3945.

Prime Factorization of 3942


2 3942
3 1971
3 657
3 219
73 73
1

Prime factors of 3942 are 2, 3,73. Prime factorization of 3942 in exponential form is:

3942 = 21×33×731

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 3942 and 3945.

LCM(3942,3945) = 21×33×51×731×2631
LCM(3942,3945) = 5183730

Factors of 3942

List of positive integer factors of 3942 that divides 3942 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942

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 3942 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 3942 and 3945, than apply into the LCM equation.

GCF(3942,3945) = 3
LCM(3942,3945) = ( 3942 × 3945) / 3
LCM(3942,3945) = 15551190 / 3
LCM(3942,3945) = 5183730

Properties of LCM 3942 and 3945

(i) The LCM of 3945 and 3942 is associative

LCM of 3942 and 3945 = LCM of 3945 and 3942

Related Least Common Multiples of 3942

Related Least Common Multiples of 3945

Frequently Asked Questions on LCM of 3942 and 3945

1. What is the LCM of 3942 and 3945?

Answer: LCM of 3942 and 3945 is 5183730.

2. What are the Factors of 3942?

Answer: Factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942. There are 16 integers that are factors of 3942. The greatest factor of 3942 is 3942.

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 3942 and 3945?

Answer:

Least Common Multiple of 3942 and 3945 = 5183730

Step 1: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

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 = 5183730 = 2 x 3 x 3 x 3 x 5 x 73 x 263

Step 4: Therefore, the least common multiple of 3942 and 3945 is 5183730.