Least Common Multiple of 7671 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 7671 and 7678 the smallest integer that is 58897938 that is divisible by both numbers.

Least Common Multiple (LCM) of 7671 and 7678 is 58897938.

LCM(7671,7678) = 58897938

LCM of 7671 and 7678

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

LCM of:
and

Least Common Multiple of 7671 and 7678

LCM of 7671 and 7678 is 58897938

Least common multiple can be found by multiplying the highest exponent prime factors of 7671 and 7678. First we will calculate the prime factors of 7671 and 7678.

Prime Factorization of 7671


3 7671
2557 2557
1

Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:

7671 = 31×25571

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 7671 and 7678.

LCM(7671,7678) = 21×31×111×3491×25571
LCM(7671,7678) = 58897938

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1, 3, 2557, 7671

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 7671 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 7671 and 7678, than apply into the LCM equation.

GCF(7671,7678) = 1
LCM(7671,7678) = ( 7671 × 7678) / 1
LCM(7671,7678) = 58897938 / 1
LCM(7671,7678) = 58897938

Properties of LCM 7671 and 7678

(i) The LCM of 7678 and 7671 is associative

LCM of 7671 and 7678 = LCM of 7678 and 7671

Related Least Common Multiples of 7671

Related Least Common Multiples of 7678

Frequently Asked Questions on LCM of 7671 and 7678

1. What is the LCM of 7671 and 7678?

Answer: LCM of 7671 and 7678 is 58897938.

2. What are the Factors of 7671?

Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.

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 7671 and 7678?

Answer:

Least Common Multiple of 7671 and 7678 = 58897938

Step 1: Find the prime factorization of 7671

7671 = 3 x 2557

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 = 58897938 = 2 x 3 x 11 x 349 x 2557

Step 4: Therefore, the least common multiple of 7671 and 7678 is 58897938.