Least Common Multiple of 270 and 277

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 277 the smallest integer that is 74790 that is divisible by both numbers.

Least Common Multiple (LCM) of 270 and 277 is 74790.

LCM(270,277) = 74790

LCM of 270 and 277

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

LCM of:
and

Least Common Multiple of 270 and 277

LCM of 270 and 277 is 74790

Least common multiple can be found by multiplying the highest exponent prime factors of 270 and 277. First we will calculate the prime factors of 270 and 277.

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 277


277 277
1

Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:

277 = 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 270 and 277.

LCM(270,277) = 21×33×51×2771
LCM(270,277) = 74790

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 277

List of positive integer factors of 277 that divides 277 without a remainder.

1, 277

Least Common Multiple of 270 and 277 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 277, than apply into the LCM equation.

GCF(270,277) = 1
LCM(270,277) = ( 270 × 277) / 1
LCM(270,277) = 74790 / 1
LCM(270,277) = 74790

Properties of LCM 270 and 277

(i) The LCM of 277 and 270 is associative

LCM of 270 and 277 = LCM of 277 and 270

Related Least Common Multiples of 270

Related Least Common Multiples of 277

Frequently Asked Questions on LCM of 270 and 277

1. What is the LCM of 270 and 277?

Answer: LCM of 270 and 277 is 74790.

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 277?

Answer: Factors of 277 are 1, 277. There are 2 integers that are factors of 277. The greatest factor of 277 is 277.

4. How to Find the LCM of 270 and 277?

Answer:

Least Common Multiple of 270 and 277 = 74790

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 277

277 = 277

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

LCM = 74790 = 2 x 3 x 3 x 3 x 5 x 277

Step 4: Therefore, the least common multiple of 270 and 277 is 74790.