Least Common Multiple of 688 and 694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 688 and 694 the smallest integer that is 238736 that is divisible by both numbers.

Least Common Multiple (LCM) of 688 and 694 is 238736.

LCM(688,694) = 238736

LCM of 688 and 694

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

LCM of:
and

Least Common Multiple of 688 and 694

LCM of 688 and 694 is 238736

Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 694. First we will calculate the prime factors of 688 and 694.

Prime Factorization of 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 688 and 694.

LCM(688,694) = 24×431×3471
LCM(688,694) = 238736

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Least Common Multiple of 688 and 694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 688 and 694, than apply into the LCM equation.

GCF(688,694) = 2
LCM(688,694) = ( 688 × 694) / 2
LCM(688,694) = 477472 / 2
LCM(688,694) = 238736

Properties of LCM 688 and 694

(i) The LCM of 694 and 688 is associative

LCM of 688 and 694 = LCM of 694 and 688

Related Least Common Multiples of 688

Related Least Common Multiples of 694

Frequently Asked Questions on LCM of 688 and 694

1. What is the LCM of 688 and 694?

Answer: LCM of 688 and 694 is 238736.

2. What are the Factors of 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

3. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

4. How to Find the LCM of 688 and 694?

Answer:

Least Common Multiple of 688 and 694 = 238736

Step 1: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

Step 2: Find the prime factorization of 694

694 = 2 x 347

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

LCM = 238736 = 2 x 2 x 2 x 2 x 43 x 347

Step 4: Therefore, the least common multiple of 688 and 694 is 238736.