Least Common Multiple of 274 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 274 and 278 the smallest integer that is 38086 that is divisible by both numbers.

Least Common Multiple (LCM) of 274 and 278 is 38086.

LCM(274,278) = 38086

LCM of 274 and 278

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

LCM of:
and

Least Common Multiple of 274 and 278

LCM of 274 and 278 is 38086

Least common multiple can be found by multiplying the highest exponent prime factors of 274 and 278. First we will calculate the prime factors of 274 and 278.

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

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 274 and 278.

LCM(274,278) = 21×1371×1391
LCM(274,278) = 38086

Factors of 274

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

1, 2, 137, 274

Factors of 278

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

1, 2, 139, 278

Least Common Multiple of 274 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 274 and 278, than apply into the LCM equation.

GCF(274,278) = 2
LCM(274,278) = ( 274 × 278) / 2
LCM(274,278) = 76172 / 2
LCM(274,278) = 38086

Properties of LCM 274 and 278

(i) The LCM of 278 and 274 is associative

LCM of 274 and 278 = LCM of 278 and 274

Related Least Common Multiples of 274

Related Least Common Multiples of 278

Frequently Asked Questions on LCM of 274 and 278

1. What is the LCM of 274 and 278?

Answer: LCM of 274 and 278 is 38086.

2. 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.

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 274 and 278?

Answer:

Least Common Multiple of 274 and 278 = 38086

Step 1: Find the prime factorization of 274

274 = 2 x 137

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 = 38086 = 2 x 137 x 139

Step 4: Therefore, the least common multiple of 274 and 278 is 38086.