Least Common Multiple of 3932 and 3937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3932 and 3937 the smallest integer that is 15480284 that is divisible by both numbers.

Least Common Multiple (LCM) of 3932 and 3937 is 15480284.

LCM(3932,3937) = 15480284

LCM of 3932 and 3937

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

LCM of:
and

Least Common Multiple of 3932 and 3937

LCM of 3932 and 3937 is 15480284

Least common multiple can be found by multiplying the highest exponent prime factors of 3932 and 3937. First we will calculate the prime factors of 3932 and 3937.

Prime Factorization of 3932


2 3932
2 1966
983 983
1

Prime factors of 3932 are 2,983. Prime factorization of 3932 in exponential form is:

3932 = 22×9831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3932 and 3937.

LCM(3932,3937) = 22×311×1271×9831
LCM(3932,3937) = 15480284

Factors of 3932

List of positive integer factors of 3932 that divides 3932 without a remainder.

1, 2, 4, 983, 1966, 3932

Factors of 3937

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

1, 31, 127, 3937

Least Common Multiple of 3932 and 3937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3932 and 3937, than apply into the LCM equation.

GCF(3932,3937) = 1
LCM(3932,3937) = ( 3932 × 3937) / 1
LCM(3932,3937) = 15480284 / 1
LCM(3932,3937) = 15480284

Properties of LCM 3932 and 3937

(i) The LCM of 3937 and 3932 is associative

LCM of 3932 and 3937 = LCM of 3937 and 3932

Related Least Common Multiples of 3932

Related Least Common Multiples of 3937

Frequently Asked Questions on LCM of 3932 and 3937

1. What is the LCM of 3932 and 3937?

Answer: LCM of 3932 and 3937 is 15480284.

2. What are the Factors of 3932?

Answer: Factors of 3932 are 1, 2, 4, 983, 1966, 3932. There are 6 integers that are factors of 3932. The greatest factor of 3932 is 3932.

3. 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.

4. How to Find the LCM of 3932 and 3937?

Answer:

Least Common Multiple of 3932 and 3937 = 15480284

Step 1: Find the prime factorization of 3932

3932 = 2 x 2 x 983

Step 2: Find the prime factorization of 3937

3937 = 31 x 127

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

LCM = 15480284 = 2 x 2 x 31 x 127 x 983

Step 4: Therefore, the least common multiple of 3932 and 3937 is 15480284.