Least Common Multiple of 7746 and 7752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7746 and 7752 the smallest integer that is 10007832 that is divisible by both numbers.

Least Common Multiple (LCM) of 7746 and 7752 is 10007832.

LCM(7746,7752) = 10007832

LCM of 7746 and 7752

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

LCM of:
and

Least Common Multiple of 7746 and 7752

LCM of 7746 and 7752 is 10007832

Least common multiple can be found by multiplying the highest exponent prime factors of 7746 and 7752. First we will calculate the prime factors of 7746 and 7752.

Prime Factorization of 7746


2 7746
3 3873
1291 1291
1

Prime factors of 7746 are 2, 3,1291. Prime factorization of 7746 in exponential form is:

7746 = 21×31×12911

Prime Factorization of 7752


2 7752
2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 7752 are 2, 3, 17,19. Prime factorization of 7752 in exponential form is:

7752 = 23×31×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7746 and 7752.

LCM(7746,7752) = 23×31×171×191×12911
LCM(7746,7752) = 10007832

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1, 2, 3, 6, 1291, 2582, 3873, 7746

Factors of 7752

List of positive integer factors of 7752 that divides 7752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752

Least Common Multiple of 7746 and 7752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7746 and 7752, than apply into the LCM equation.

GCF(7746,7752) = 6
LCM(7746,7752) = ( 7746 × 7752) / 6
LCM(7746,7752) = 60046992 / 6
LCM(7746,7752) = 10007832

Properties of LCM 7746 and 7752

(i) The LCM of 7752 and 7746 is associative

LCM of 7746 and 7752 = LCM of 7752 and 7746

Related Least Common Multiples of 7746

Related Least Common Multiples of 7752

Frequently Asked Questions on LCM of 7746 and 7752

1. What is the LCM of 7746 and 7752?

Answer: LCM of 7746 and 7752 is 10007832.

2. What are the Factors of 7746?

Answer: Factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746. There are 8 integers that are factors of 7746. The greatest factor of 7746 is 7746.

3. What are the Factors of 7752?

Answer: Factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752. There are 32 integers that are factors of 7752. The greatest factor of 7752 is 7752.

4. How to Find the LCM of 7746 and 7752?

Answer:

Least Common Multiple of 7746 and 7752 = 10007832

Step 1: Find the prime factorization of 7746

7746 = 2 x 3 x 1291

Step 2: Find the prime factorization of 7752

7752 = 2 x 2 x 2 x 3 x 17 x 19

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

LCM = 10007832 = 2 x 2 x 2 x 3 x 17 x 19 x 1291

Step 4: Therefore, the least common multiple of 7746 and 7752 is 10007832.