Least Common Multiple of 270 and 274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 270 and 274 the smallest integer that is 36990 that is divisible by both numbers.

Least Common Multiple (LCM) of 270 and 274 is 36990.

LCM(270,274) = 36990

LCM of 270 and 274

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

LCM of:
and

Least Common Multiple of 270 and 274

LCM of 270 and 274 is 36990

Least common multiple can be found by multiplying the highest exponent prime factors of 270 and 274. First we will calculate the prime factors of 270 and 274.

Prime Factorization of 270


2 270
3 135
3 45
3 15
5 5
1

Prime factors of 270 are 2, 3,5. Prime factorization of 270 in exponential form is:

270 = 21×33×51

Prime Factorization of 274


2 274
137 137
1

Prime factors of 274 are 2,137. Prime factorization of 274 in exponential form is:

274 = 21×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 270 and 274.

LCM(270,274) = 21×33×51×1371
LCM(270,274) = 36990

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Least Common Multiple of 270 and 274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 270 and 274, than apply into the LCM equation.

GCF(270,274) = 2
LCM(270,274) = ( 270 × 274) / 2
LCM(270,274) = 73980 / 2
LCM(270,274) = 36990

Properties of LCM 270 and 274

(i) The LCM of 274 and 270 is associative

LCM of 270 and 274 = LCM of 274 and 270

Related Least Common Multiples of 270

Related Least Common Multiples of 274

Frequently Asked Questions on LCM of 270 and 274

1. What is the LCM of 270 and 274?

Answer: LCM of 270 and 274 is 36990.

2. What are the Factors of 270?

Answer: Factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270. There are 16 integers that are factors of 270. The greatest factor of 270 is 270.

3. What are the Factors of 274?

Answer: Factors of 274 are 1, 2, 137, 274. There are 4 integers that are factors of 274. The greatest factor of 274 is 274.

4. How to Find the LCM of 270 and 274?

Answer:

Least Common Multiple of 270 and 274 = 36990

Step 1: Find the prime factorization of 270

270 = 2 x 3 x 3 x 3 x 5

Step 2: Find the prime factorization of 274

274 = 2 x 137

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

LCM = 36990 = 2 x 3 x 3 x 3 x 5 x 137

Step 4: Therefore, the least common multiple of 270 and 274 is 36990.