Least Common Multiple of 7929 and 7936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7929 and 7936 the smallest integer that is 62924544 that is divisible by both numbers.

Least Common Multiple (LCM) of 7929 and 7936 is 62924544.

LCM(7929,7936) = 62924544

LCM of 7929 and 7936

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

LCM of:
and

Least Common Multiple of 7929 and 7936

LCM of 7929 and 7936 is 62924544

Least common multiple can be found by multiplying the highest exponent prime factors of 7929 and 7936. First we will calculate the prime factors of 7929 and 7936.

Prime Factorization of 7929


3 7929
3 2643
881 881
1

Prime factors of 7929 are 3,881. Prime factorization of 7929 in exponential form is:

7929 = 32×8811

Prime Factorization of 7936


2 7936
2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 7936 are 2,31. Prime factorization of 7936 in exponential form is:

7936 = 28×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7929 and 7936.

LCM(7929,7936) = 28×32×311×8811
LCM(7929,7936) = 62924544

Factors of 7929

List of positive integer factors of 7929 that divides 7929 without a remainder.

1, 3, 9, 881, 2643, 7929

Factors of 7936

List of positive integer factors of 7936 that divides 7936 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936

Least Common Multiple of 7929 and 7936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7929 and 7936, than apply into the LCM equation.

GCF(7929,7936) = 1
LCM(7929,7936) = ( 7929 × 7936) / 1
LCM(7929,7936) = 62924544 / 1
LCM(7929,7936) = 62924544

Properties of LCM 7929 and 7936

(i) The LCM of 7936 and 7929 is associative

LCM of 7929 and 7936 = LCM of 7936 and 7929

Related Least Common Multiples of 7929

Related Least Common Multiples of 7936

Frequently Asked Questions on LCM of 7929 and 7936

1. What is the LCM of 7929 and 7936?

Answer: LCM of 7929 and 7936 is 62924544.

2. What are the Factors of 7929?

Answer: Factors of 7929 are 1, 3, 9, 881, 2643, 7929. There are 6 integers that are factors of 7929. The greatest factor of 7929 is 7929.

3. What are the Factors of 7936?

Answer: Factors of 7936 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 992, 1984, 3968, 7936. There are 18 integers that are factors of 7936. The greatest factor of 7936 is 7936.

4. How to Find the LCM of 7929 and 7936?

Answer:

Least Common Multiple of 7929 and 7936 = 62924544

Step 1: Find the prime factorization of 7929

7929 = 3 x 3 x 881

Step 2: Find the prime factorization of 7936

7936 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

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

LCM = 62924544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 31 x 881

Step 4: Therefore, the least common multiple of 7929 and 7936 is 62924544.