Least Common Multiple of 668 and 674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 668 and 674 the smallest integer that is 225116 that is divisible by both numbers.

Least Common Multiple (LCM) of 668 and 674 is 225116.

LCM(668,674) = 225116

LCM of 668 and 674

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

LCM of:
and

Least Common Multiple of 668 and 674

LCM of 668 and 674 is 225116

Least common multiple can be found by multiplying the highest exponent prime factors of 668 and 674. First we will calculate the prime factors of 668 and 674.

Prime Factorization of 668


2 668
2 334
167 167
1

Prime factors of 668 are 2,167. Prime factorization of 668 in exponential form is:

668 = 22×1671

Prime Factorization of 674


2 674
337 337
1

Prime factors of 674 are 2,337. Prime factorization of 674 in exponential form is:

674 = 21×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 668 and 674.

LCM(668,674) = 22×1671×3371
LCM(668,674) = 225116

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Least Common Multiple of 668 and 674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 668 and 674, than apply into the LCM equation.

GCF(668,674) = 2
LCM(668,674) = ( 668 × 674) / 2
LCM(668,674) = 450232 / 2
LCM(668,674) = 225116

Properties of LCM 668 and 674

(i) The LCM of 674 and 668 is associative

LCM of 668 and 674 = LCM of 674 and 668

Related Least Common Multiples of 668

Related Least Common Multiples of 674

Frequently Asked Questions on LCM of 668 and 674

1. What is the LCM of 668 and 674?

Answer: LCM of 668 and 674 is 225116.

2. What are the Factors of 668?

Answer: Factors of 668 are 1, 2, 4, 167, 334, 668. There are 6 integers that are factors of 668. The greatest factor of 668 is 668.

3. What are the Factors of 674?

Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.

4. How to Find the LCM of 668 and 674?

Answer:

Least Common Multiple of 668 and 674 = 225116

Step 1: Find the prime factorization of 668

668 = 2 x 2 x 167

Step 2: Find the prime factorization of 674

674 = 2 x 337

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

LCM = 225116 = 2 x 2 x 167 x 337

Step 4: Therefore, the least common multiple of 668 and 674 is 225116.