Least Common Multiple of 671 and 678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 671 and 678 the smallest integer that is 454938 that is divisible by both numbers.

Least Common Multiple (LCM) of 671 and 678 is 454938.

LCM(671,678) = 454938

LCM of 671 and 678

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

LCM of:
and

Least Common Multiple of 671 and 678

LCM of 671 and 678 is 454938

Least common multiple can be found by multiplying the highest exponent prime factors of 671 and 678. First we will calculate the prime factors of 671 and 678.

Prime Factorization of 671


11 671
61 61
1

Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:

671 = 111×611

Prime Factorization of 678


2 678
3 339
113 113
1

Prime factors of 678 are 2, 3,113. Prime factorization of 678 in exponential form is:

678 = 21×31×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 671 and 678.

LCM(671,678) = 21×31×111×611×1131
LCM(671,678) = 454938

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Least Common Multiple of 671 and 678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 671 and 678, than apply into the LCM equation.

GCF(671,678) = 1
LCM(671,678) = ( 671 × 678) / 1
LCM(671,678) = 454938 / 1
LCM(671,678) = 454938

Properties of LCM 671 and 678

(i) The LCM of 678 and 671 is associative

LCM of 671 and 678 = LCM of 678 and 671

Related Least Common Multiples of 671

Related Least Common Multiples of 678

Frequently Asked Questions on LCM of 671 and 678

1. What is the LCM of 671 and 678?

Answer: LCM of 671 and 678 is 454938.

2. What are the Factors of 671?

Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.

3. What are the Factors of 678?

Answer: Factors of 678 are 1, 2, 3, 6, 113, 226, 339, 678. There are 8 integers that are factors of 678. The greatest factor of 678 is 678.

4. How to Find the LCM of 671 and 678?

Answer:

Least Common Multiple of 671 and 678 = 454938

Step 1: Find the prime factorization of 671

671 = 11 x 61

Step 2: Find the prime factorization of 678

678 = 2 x 3 x 113

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

LCM = 454938 = 2 x 3 x 11 x 61 x 113

Step 4: Therefore, the least common multiple of 671 and 678 is 454938.