Least Common Multiple of 277 and 285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 277 and 285 the smallest integer that is 78945 that is divisible by both numbers.

Least Common Multiple (LCM) of 277 and 285 is 78945.

LCM(277,285) = 78945

LCM of 277 and 285

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

LCM of:
and

Least Common Multiple of 277 and 285

LCM of 277 and 285 is 78945

Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 285. First we will calculate the prime factors of 277 and 285.

Prime Factorization of 277


277 277
1

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

277 = 2771

Prime Factorization of 285


3 285
5 95
19 19
1

Prime factors of 285 are 3, 5,19. Prime factorization of 285 in exponential form is:

285 = 31×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 277 and 285.

LCM(277,285) = 31×51×191×2771
LCM(277,285) = 78945

Factors of 277

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

1, 277

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Least Common Multiple of 277 and 285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 277 and 285, than apply into the LCM equation.

GCF(277,285) = 1
LCM(277,285) = ( 277 × 285) / 1
LCM(277,285) = 78945 / 1
LCM(277,285) = 78945

Properties of LCM 277 and 285

(i) The LCM of 285 and 277 is associative

LCM of 277 and 285 = LCM of 285 and 277

Related Least Common Multiples of 277

Related Least Common Multiples of 285

Frequently Asked Questions on LCM of 277 and 285

1. What is the LCM of 277 and 285?

Answer: LCM of 277 and 285 is 78945.

2. 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.

3. What are the Factors of 285?

Answer: Factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285. There are 8 integers that are factors of 285. The greatest factor of 285 is 285.

4. How to Find the LCM of 277 and 285?

Answer:

Least Common Multiple of 277 and 285 = 78945

Step 1: Find the prime factorization of 277

277 = 277

Step 2: Find the prime factorization of 285

285 = 3 x 5 x 19

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

LCM = 78945 = 3 x 5 x 19 x 277

Step 4: Therefore, the least common multiple of 277 and 285 is 78945.