Least Common Multiple of 3924 and 3932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3924 and 3932 the smallest integer that is 3857292 that is divisible by both numbers.

Least Common Multiple (LCM) of 3924 and 3932 is 3857292.

LCM(3924,3932) = 3857292

LCM of 3924 and 3932

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

LCM of:
and

Least Common Multiple of 3924 and 3932

LCM of 3924 and 3932 is 3857292

Least common multiple can be found by multiplying the highest exponent prime factors of 3924 and 3932. First we will calculate the prime factors of 3924 and 3932.

Prime Factorization of 3924


2 3924
2 1962
3 981
3 327
109 109
1

Prime factors of 3924 are 2, 3,109. Prime factorization of 3924 in exponential form is:

3924 = 22×32×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3924 and 3932.

LCM(3924,3932) = 22×32×1091×9831
LCM(3924,3932) = 3857292

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924

Factors of 3932

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

1, 2, 4, 983, 1966, 3932

Least Common Multiple of 3924 and 3932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3924 and 3932, than apply into the LCM equation.

GCF(3924,3932) = 4
LCM(3924,3932) = ( 3924 × 3932) / 4
LCM(3924,3932) = 15429168 / 4
LCM(3924,3932) = 3857292

Properties of LCM 3924 and 3932

(i) The LCM of 3932 and 3924 is associative

LCM of 3924 and 3932 = LCM of 3932 and 3924

Related Least Common Multiples of 3924

Related Least Common Multiples of 3932

Frequently Asked Questions on LCM of 3924 and 3932

1. What is the LCM of 3924 and 3932?

Answer: LCM of 3924 and 3932 is 3857292.

2. What are the Factors of 3924?

Answer: Factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. There are 18 integers that are factors of 3924. The greatest factor of 3924 is 3924.

3. 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.

4. How to Find the LCM of 3924 and 3932?

Answer:

Least Common Multiple of 3924 and 3932 = 3857292

Step 1: Find the prime factorization of 3924

3924 = 2 x 2 x 3 x 3 x 109

Step 2: Find the prime factorization of 3932

3932 = 2 x 2 x 983

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

LCM = 3857292 = 2 x 2 x 3 x 3 x 109 x 983

Step 4: Therefore, the least common multiple of 3924 and 3932 is 3857292.