Least Common Multiple of 7672 and 7680

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 7680 the smallest integer that is 7365120 that is divisible by both numbers.

Least Common Multiple (LCM) of 7672 and 7680 is 7365120.

LCM(7672,7680) = 7365120

LCM of 7672 and 7680

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

LCM of:
and

Least Common Multiple of 7672 and 7680

LCM of 7672 and 7680 is 7365120

Least common multiple can be found by multiplying the highest exponent prime factors of 7672 and 7680. First we will calculate the prime factors of 7672 and 7680.

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 7680


2 7680
2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 7680 are 2, 3,5. Prime factorization of 7680 in exponential form is:

7680 = 29×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 7672 and 7680.

LCM(7672,7680) = 29×31×51×71×1371
LCM(7672,7680) = 7365120

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 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680

Least Common Multiple of 7672 and 7680 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 7680, than apply into the LCM equation.

GCF(7672,7680) = 8
LCM(7672,7680) = ( 7672 × 7680) / 8
LCM(7672,7680) = 58920960 / 8
LCM(7672,7680) = 7365120

Properties of LCM 7672 and 7680

(i) The LCM of 7680 and 7672 is associative

LCM of 7672 and 7680 = LCM of 7680 and 7672

Related Least Common Multiples of 7672

Related Least Common Multiples of 7680

Frequently Asked Questions on LCM of 7672 and 7680

1. What is the LCM of 7672 and 7680?

Answer: LCM of 7672 and 7680 is 7365120.

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 7680?

Answer: Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. There are 40 integers that are factors of 7680. The greatest factor of 7680 is 7680.

4. How to Find the LCM of 7672 and 7680?

Answer:

Least Common Multiple of 7672 and 7680 = 7365120

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 7680

7680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

LCM = 7365120 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 137

Step 4: Therefore, the least common multiple of 7672 and 7680 is 7365120.