Least Common Multiple of 673 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 673 and 678 the smallest integer that is 456294 that is divisible by both numbers.

Least Common Multiple (LCM) of 673 and 678 is 456294.

LCM(673,678) = 456294

LCM of 673 and 678

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

LCM of:
and

Least Common Multiple of 673 and 678

LCM of 673 and 678 is 456294

Least common multiple can be found by multiplying the highest exponent prime factors of 673 and 678. First we will calculate the prime factors of 673 and 678.

Prime Factorization of 673


673 673
1

Prime factors of 673 are 673. Prime factorization of 673 in exponential form is:

673 = 6731

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 673 and 678.

LCM(673,678) = 21×31×1131×6731
LCM(673,678) = 456294

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1, 673

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 673 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 673 and 678, than apply into the LCM equation.

GCF(673,678) = 1
LCM(673,678) = ( 673 × 678) / 1
LCM(673,678) = 456294 / 1
LCM(673,678) = 456294

Properties of LCM 673 and 678

(i) The LCM of 678 and 673 is associative

LCM of 673 and 678 = LCM of 678 and 673

Related Least Common Multiples of 673

Related Least Common Multiples of 678

Frequently Asked Questions on LCM of 673 and 678

1. What is the LCM of 673 and 678?

Answer: LCM of 673 and 678 is 456294.

2. What are the Factors of 673?

Answer: Factors of 673 are 1, 673. There are 2 integers that are factors of 673. The greatest factor of 673 is 673.

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 673 and 678?

Answer:

Least Common Multiple of 673 and 678 = 456294

Step 1: Find the prime factorization of 673

673 = 673

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 = 456294 = 2 x 3 x 113 x 673

Step 4: Therefore, the least common multiple of 673 and 678 is 456294.