Least Common Multiple of 7748 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 7748 and 7752 the smallest integer that is 15015624 that is divisible by both numbers.

Least Common Multiple (LCM) of 7748 and 7752 is 15015624.

LCM(7748,7752) = 15015624

LCM of 7748 and 7752

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

LCM of:
and

Least Common Multiple of 7748 and 7752

LCM of 7748 and 7752 is 15015624

Least common multiple can be found by multiplying the highest exponent prime factors of 7748 and 7752. First we will calculate the prime factors of 7748 and 7752.

Prime Factorization of 7748


2 7748
2 3874
13 1937
149 149
1

Prime factors of 7748 are 2, 13,149. Prime factorization of 7748 in exponential form is:

7748 = 22×131×1491

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 7748 and 7752.

LCM(7748,7752) = 23×31×131×171×191×1491
LCM(7748,7752) = 15015624

Factors of 7748

List of positive integer factors of 7748 that divides 7748 without a remainder.

1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748

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 7748 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 7748 and 7752, than apply into the LCM equation.

GCF(7748,7752) = 4
LCM(7748,7752) = ( 7748 × 7752) / 4
LCM(7748,7752) = 60062496 / 4
LCM(7748,7752) = 15015624

Properties of LCM 7748 and 7752

(i) The LCM of 7752 and 7748 is associative

LCM of 7748 and 7752 = LCM of 7752 and 7748

Related Least Common Multiples of 7748

Related Least Common Multiples of 7752

Frequently Asked Questions on LCM of 7748 and 7752

1. What is the LCM of 7748 and 7752?

Answer: LCM of 7748 and 7752 is 15015624.

2. What are the Factors of 7748?

Answer: Factors of 7748 are 1, 2, 4, 13, 26, 52, 149, 298, 596, 1937, 3874, 7748. There are 12 integers that are factors of 7748. The greatest factor of 7748 is 7748.

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 7748 and 7752?

Answer:

Least Common Multiple of 7748 and 7752 = 15015624

Step 1: Find the prime factorization of 7748

7748 = 2 x 2 x 13 x 149

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 = 15015624 = 2 x 2 x 2 x 3 x 13 x 17 x 19 x 149

Step 4: Therefore, the least common multiple of 7748 and 7752 is 15015624.