Least Common Multiple of 692 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 692 and 694 the smallest integer that is 240124 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 694 is 240124.

LCM(692,694) = 240124

LCM of 692 and 694

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

LCM of:
and

Least Common Multiple of 692 and 694

LCM of 692 and 694 is 240124

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 694. First we will calculate the prime factors of 692 and 694.

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

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 692 and 694.

LCM(692,694) = 22×1731×3471
LCM(692,694) = 240124

Factors of 692

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

1, 2, 4, 173, 346, 692

Factors of 694

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

1, 2, 347, 694

Least Common Multiple of 692 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 692 and 694, than apply into the LCM equation.

GCF(692,694) = 2
LCM(692,694) = ( 692 × 694) / 2
LCM(692,694) = 480248 / 2
LCM(692,694) = 240124

Properties of LCM 692 and 694

(i) The LCM of 694 and 692 is associative

LCM of 692 and 694 = LCM of 694 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 694

Frequently Asked Questions on LCM of 692 and 694

1. What is the LCM of 692 and 694?

Answer: LCM of 692 and 694 is 240124.

2. 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.

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 692 and 694?

Answer:

Least Common Multiple of 692 and 694 = 240124

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

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 = 240124 = 2 x 2 x 173 x 347

Step 4: Therefore, the least common multiple of 692 and 694 is 240124.