Least Common Multiple of 7672 and 7678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7672 and 7678 the smallest integer that is 29452808 that is divisible by both numbers.

Least Common Multiple (LCM) of 7672 and 7678 is 29452808.

LCM(7672,7678) = 29452808

LCM of 7672 and 7678

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

LCM of:
and

Least Common Multiple of 7672 and 7678

LCM of 7672 and 7678 is 29452808

Least common multiple can be found by multiplying the highest exponent prime factors of 7672 and 7678. First we will calculate the prime factors of 7672 and 7678.

Prime Factorization of 7672


2 7672
2 3836
2 1918
7 959
137 137
1

Prime factors of 7672 are 2, 7,137. Prime factorization of 7672 in exponential form is:

7672 = 23×71×1371

Prime Factorization of 7678


2 7678
11 3839
349 349
1

Prime factors of 7678 are 2, 11,349. Prime factorization of 7678 in exponential form is:

7678 = 21×111×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 7672 and 7678.

LCM(7672,7678) = 23×71×111×1371×3491
LCM(7672,7678) = 29452808

Factors of 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672

Factors of 7678

List of positive integer factors of 7678 that divides 7678 without a remainder.

1, 2, 11, 22, 349, 698, 3839, 7678

Least Common Multiple of 7672 and 7678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7672 and 7678, than apply into the LCM equation.

GCF(7672,7678) = 2
LCM(7672,7678) = ( 7672 × 7678) / 2
LCM(7672,7678) = 58905616 / 2
LCM(7672,7678) = 29452808

Properties of LCM 7672 and 7678

(i) The LCM of 7678 and 7672 is associative

LCM of 7672 and 7678 = LCM of 7678 and 7672

Related Least Common Multiples of 7672

Related Least Common Multiples of 7678

Frequently Asked Questions on LCM of 7672 and 7678

1. What is the LCM of 7672 and 7678?

Answer: LCM of 7672 and 7678 is 29452808.

2. What are the Factors of 7672?

Answer: Factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672. There are 16 integers that are factors of 7672. The greatest factor of 7672 is 7672.

3. What are the Factors of 7678?

Answer: Factors of 7678 are 1, 2, 11, 22, 349, 698, 3839, 7678. There are 8 integers that are factors of 7678. The greatest factor of 7678 is 7678.

4. How to Find the LCM of 7672 and 7678?

Answer:

Least Common Multiple of 7672 and 7678 = 29452808

Step 1: Find the prime factorization of 7672

7672 = 2 x 2 x 2 x 7 x 137

Step 2: Find the prime factorization of 7678

7678 = 2 x 11 x 349

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

LCM = 29452808 = 2 x 2 x 2 x 7 x 11 x 137 x 349

Step 4: Therefore, the least common multiple of 7672 and 7678 is 29452808.