Least Common Multiple of 688 and 692

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 692 the smallest integer that is 119024 that is divisible by both numbers.

Least Common Multiple (LCM) of 688 and 692 is 119024.

LCM(688,692) = 119024

LCM of 688 and 692

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

LCM of:
and

Least Common Multiple of 688 and 692

LCM of 688 and 692 is 119024

Least common multiple can be found by multiplying the highest exponent prime factors of 688 and 692. First we will calculate the prime factors of 688 and 692.

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 692


2 692
2 346
173 173
1

Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:

692 = 22×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 688 and 692.

LCM(688,692) = 24×431×1731
LCM(688,692) = 119024

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 692

List of positive integer factors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Least Common Multiple of 688 and 692 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 692, than apply into the LCM equation.

GCF(688,692) = 4
LCM(688,692) = ( 688 × 692) / 4
LCM(688,692) = 476096 / 4
LCM(688,692) = 119024

Properties of LCM 688 and 692

(i) The LCM of 692 and 688 is associative

LCM of 688 and 692 = LCM of 692 and 688

Related Least Common Multiples of 688

Related Least Common Multiples of 692

Frequently Asked Questions on LCM of 688 and 692

1. What is the LCM of 688 and 692?

Answer: LCM of 688 and 692 is 119024.

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 692?

Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.

4. How to Find the LCM of 688 and 692?

Answer:

Least Common Multiple of 688 and 692 = 119024

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 692

692 = 2 x 2 x 173

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

LCM = 119024 = 2 x 2 x 2 x 2 x 43 x 173

Step 4: Therefore, the least common multiple of 688 and 692 is 119024.