Least Common Multiple of 277 and 278

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 278 the smallest integer that is 77006 that is divisible by both numbers.

Least Common Multiple (LCM) of 277 and 278 is 77006.

LCM(277,278) = 77006

LCM of 277 and 278

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

LCM of:
and

Least Common Multiple of 277 and 278

LCM of 277 and 278 is 77006

Least common multiple can be found by multiplying the highest exponent prime factors of 277 and 278. First we will calculate the prime factors of 277 and 278.

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 278


2 278
139 139
1

Prime factors of 278 are 2,139. Prime factorization of 278 in exponential form is:

278 = 21×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 277 and 278.

LCM(277,278) = 21×1391×2771
LCM(277,278) = 77006

Factors of 277

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

1, 277

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Least Common Multiple of 277 and 278 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 278, than apply into the LCM equation.

GCF(277,278) = 1
LCM(277,278) = ( 277 × 278) / 1
LCM(277,278) = 77006 / 1
LCM(277,278) = 77006

Properties of LCM 277 and 278

(i) The LCM of 278 and 277 is associative

LCM of 277 and 278 = LCM of 278 and 277

Related Least Common Multiples of 277

Related Least Common Multiples of 278

Frequently Asked Questions on LCM of 277 and 278

1. What is the LCM of 277 and 278?

Answer: LCM of 277 and 278 is 77006.

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 278?

Answer: Factors of 278 are 1, 2, 139, 278. There are 4 integers that are factors of 278. The greatest factor of 278 is 278.

4. How to Find the LCM of 277 and 278?

Answer:

Least Common Multiple of 277 and 278 = 77006

Step 1: Find the prime factorization of 277

277 = 277

Step 2: Find the prime factorization of 278

278 = 2 x 139

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

LCM = 77006 = 2 x 139 x 277

Step 4: Therefore, the least common multiple of 277 and 278 is 77006.