Least Common Multiple of 3937 and 3942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3937 and 3942 the smallest integer that is 15519654 that is divisible by both numbers.

Least Common Multiple (LCM) of 3937 and 3942 is 15519654.

LCM(3937,3942) = 15519654

LCM of 3937 and 3942

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

LCM of:
and

Least Common Multiple of 3937 and 3942

LCM of 3937 and 3942 is 15519654

Least common multiple can be found by multiplying the highest exponent prime factors of 3937 and 3942. First we will calculate the prime factors of 3937 and 3942.

Prime Factorization of 3937


31 3937
127 127
1

Prime factors of 3937 are 31,127. Prime factorization of 3937 in exponential form is:

3937 = 311×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3937 and 3942.

LCM(3937,3942) = 21×33×311×731×1271
LCM(3937,3942) = 15519654

Factors of 3937

List of positive integer factors of 3937 that divides 3937 without a remainder.

1, 31, 127, 3937

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

Least Common Multiple of 3937 and 3942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3937 and 3942, than apply into the LCM equation.

GCF(3937,3942) = 1
LCM(3937,3942) = ( 3937 × 3942) / 1
LCM(3937,3942) = 15519654 / 1
LCM(3937,3942) = 15519654

Properties of LCM 3937 and 3942

(i) The LCM of 3942 and 3937 is associative

LCM of 3937 and 3942 = LCM of 3942 and 3937

Related Least Common Multiples of 3937

Related Least Common Multiples of 3942

Frequently Asked Questions on LCM of 3937 and 3942

1. What is the LCM of 3937 and 3942?

Answer: LCM of 3937 and 3942 is 15519654.

2. What are the Factors of 3937?

Answer: Factors of 3937 are 1, 31, 127, 3937. There are 4 integers that are factors of 3937. The greatest factor of 3937 is 3937.

3. 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.

4. How to Find the LCM of 3937 and 3942?

Answer:

Least Common Multiple of 3937 and 3942 = 15519654

Step 1: Find the prime factorization of 3937

3937 = 31 x 127

Step 2: Find the prime factorization of 3942

3942 = 2 x 3 x 3 x 3 x 73

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

LCM = 15519654 = 2 x 3 x 3 x 3 x 31 x 73 x 127

Step 4: Therefore, the least common multiple of 3937 and 3942 is 15519654.