Least Common Multiple of 3942 and 3950

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 3950 the smallest integer that is 7785450 that is divisible by both numbers.

Least Common Multiple (LCM) of 3942 and 3950 is 7785450.

LCM(3942,3950) = 7785450

LCM of 3942 and 3950

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

LCM of:
and

Least Common Multiple of 3942 and 3950

LCM of 3942 and 3950 is 7785450

Least common multiple can be found by multiplying the highest exponent prime factors of 3942 and 3950. First we will calculate the prime factors of 3942 and 3950.

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 3950


2 3950
5 1975
5 395
79 79
1

Prime factors of 3950 are 2, 5,79. Prime factorization of 3950 in exponential form is:

3950 = 21×52×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3942 and 3950.

LCM(3942,3950) = 21×33×52×731×791
LCM(3942,3950) = 7785450

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 3950

List of positive integer factors of 3950 that divides 3950 without a remainder.

1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950

Least Common Multiple of 3942 and 3950 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 3950, than apply into the LCM equation.

GCF(3942,3950) = 2
LCM(3942,3950) = ( 3942 × 3950) / 2
LCM(3942,3950) = 15570900 / 2
LCM(3942,3950) = 7785450

Properties of LCM 3942 and 3950

(i) The LCM of 3950 and 3942 is associative

LCM of 3942 and 3950 = LCM of 3950 and 3942

Related Least Common Multiples of 3942

Related Least Common Multiples of 3950

Frequently Asked Questions on LCM of 3942 and 3950

1. What is the LCM of 3942 and 3950?

Answer: LCM of 3942 and 3950 is 7785450.

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 3950?

Answer: Factors of 3950 are 1, 2, 5, 10, 25, 50, 79, 158, 395, 790, 1975, 3950. There are 12 integers that are factors of 3950. The greatest factor of 3950 is 3950.

4. How to Find the LCM of 3942 and 3950?

Answer:

Least Common Multiple of 3942 and 3950 = 7785450

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 3950

3950 = 2 x 5 x 5 x 79

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

LCM = 7785450 = 2 x 3 x 3 x 3 x 5 x 5 x 73 x 79

Step 4: Therefore, the least common multiple of 3942 and 3950 is 7785450.