Least Common Multiple of 292 and 294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 292 and 294 the smallest integer that is 42924 that is divisible by both numbers.

Least Common Multiple (LCM) of 292 and 294 is 42924.

LCM(292,294) = 42924

LCM of 292 and 294

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

LCM of:
and

Least Common Multiple of 292 and 294

LCM of 292 and 294 is 42924

Least common multiple can be found by multiplying the highest exponent prime factors of 292 and 294. First we will calculate the prime factors of 292 and 294.

Prime Factorization of 292


2 292
2 146
73 73
1

Prime factors of 292 are 2,73. Prime factorization of 292 in exponential form is:

292 = 22×731

Prime Factorization of 294


2 294
3 147
7 49
7 7
1

Prime factors of 294 are 2, 3,7. Prime factorization of 294 in exponential form is:

294 = 21×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 292 and 294.

LCM(292,294) = 22×31×72×731
LCM(292,294) = 42924

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Least Common Multiple of 292 and 294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 292 and 294, than apply into the LCM equation.

GCF(292,294) = 2
LCM(292,294) = ( 292 × 294) / 2
LCM(292,294) = 85848 / 2
LCM(292,294) = 42924

Properties of LCM 292 and 294

(i) The LCM of 294 and 292 is associative

LCM of 292 and 294 = LCM of 294 and 292

Related Least Common Multiples of 292

Related Least Common Multiples of 294

Frequently Asked Questions on LCM of 292 and 294

1. What is the LCM of 292 and 294?

Answer: LCM of 292 and 294 is 42924.

2. What are the Factors of 292?

Answer: Factors of 292 are 1, 2, 4, 73, 146, 292. There are 6 integers that are factors of 292. The greatest factor of 292 is 292.

3. What are the Factors of 294?

Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.

4. How to Find the LCM of 292 and 294?

Answer:

Least Common Multiple of 292 and 294 = 42924

Step 1: Find the prime factorization of 292

292 = 2 x 2 x 73

Step 2: Find the prime factorization of 294

294 = 2 x 3 x 7 x 7

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

LCM = 42924 = 2 x 2 x 3 x 7 x 7 x 73

Step 4: Therefore, the least common multiple of 292 and 294 is 42924.