Least Common Multiple of 3924 and 3930

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 3930 the smallest integer that is 2570220 that is divisible by both numbers.

Least Common Multiple (LCM) of 3924 and 3930 is 2570220.

LCM(3924,3930) = 2570220

LCM of 3924 and 3930

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

LCM of:
and

Least Common Multiple of 3924 and 3930

LCM of 3924 and 3930 is 2570220

Least common multiple can be found by multiplying the highest exponent prime factors of 3924 and 3930. First we will calculate the prime factors of 3924 and 3930.

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 3930


2 3930
3 1965
5 655
131 131
1

Prime factors of 3930 are 2, 3, 5,131. Prime factorization of 3930 in exponential form is:

3930 = 21×31×51×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3924 and 3930.

LCM(3924,3930) = 22×32×51×1091×1311
LCM(3924,3930) = 2570220

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 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930

Least Common Multiple of 3924 and 3930 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 3930, than apply into the LCM equation.

GCF(3924,3930) = 6
LCM(3924,3930) = ( 3924 × 3930) / 6
LCM(3924,3930) = 15421320 / 6
LCM(3924,3930) = 2570220

Properties of LCM 3924 and 3930

(i) The LCM of 3930 and 3924 is associative

LCM of 3924 and 3930 = LCM of 3930 and 3924

Related Least Common Multiples of 3924

Related Least Common Multiples of 3930

Frequently Asked Questions on LCM of 3924 and 3930

1. What is the LCM of 3924 and 3930?

Answer: LCM of 3924 and 3930 is 2570220.

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 3930?

Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.

4. How to Find the LCM of 3924 and 3930?

Answer:

Least Common Multiple of 3924 and 3930 = 2570220

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 3930

3930 = 2 x 3 x 5 x 131

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

LCM = 2570220 = 2 x 2 x 3 x 3 x 5 x 109 x 131

Step 4: Therefore, the least common multiple of 3924 and 3930 is 2570220.