Least Common Multiple of 7672 and 7677

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 7677 the smallest integer that is 58897944 that is divisible by both numbers.

Least Common Multiple (LCM) of 7672 and 7677 is 58897944.

LCM(7672,7677) = 58897944

LCM of 7672 and 7677

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

LCM of:
and

Least Common Multiple of 7672 and 7677

LCM of 7672 and 7677 is 58897944

Least common multiple can be found by multiplying the highest exponent prime factors of 7672 and 7677. First we will calculate the prime factors of 7672 and 7677.

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 7677


3 7677
3 2559
853 853
1

Prime factors of 7677 are 3,853. Prime factorization of 7677 in exponential form is:

7677 = 32×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 7672 and 7677.

LCM(7672,7677) = 23×32×71×1371×8531
LCM(7672,7677) = 58897944

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 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1, 3, 9, 853, 2559, 7677

Least Common Multiple of 7672 and 7677 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 7677, than apply into the LCM equation.

GCF(7672,7677) = 1
LCM(7672,7677) = ( 7672 × 7677) / 1
LCM(7672,7677) = 58897944 / 1
LCM(7672,7677) = 58897944

Properties of LCM 7672 and 7677

(i) The LCM of 7677 and 7672 is associative

LCM of 7672 and 7677 = LCM of 7677 and 7672

Related Least Common Multiples of 7672

Related Least Common Multiples of 7677

Frequently Asked Questions on LCM of 7672 and 7677

1. What is the LCM of 7672 and 7677?

Answer: LCM of 7672 and 7677 is 58897944.

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 7677?

Answer: Factors of 7677 are 1, 3, 9, 853, 2559, 7677. There are 6 integers that are factors of 7677. The greatest factor of 7677 is 7677.

4. How to Find the LCM of 7672 and 7677?

Answer:

Least Common Multiple of 7672 and 7677 = 58897944

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 7677

7677 = 3 x 3 x 853

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

LCM = 58897944 = 2 x 2 x 2 x 3 x 3 x 7 x 137 x 853

Step 4: Therefore, the least common multiple of 7672 and 7677 is 58897944.