Least Common Multiple of 1270 and 1277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1270 and 1277 the smallest integer that is 1621790 that is divisible by both numbers.

Least Common Multiple (LCM) of 1270 and 1277 is 1621790.

LCM(1270,1277) = 1621790

LCM of 1270 and 1277

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

LCM of:
and

Least Common Multiple of 1270 and 1277

LCM of 1270 and 1277 is 1621790

Least common multiple can be found by multiplying the highest exponent prime factors of 1270 and 1277. First we will calculate the prime factors of 1270 and 1277.

Prime Factorization of 1270


2 1270
5 635
127 127
1

Prime factors of 1270 are 2, 5,127. Prime factorization of 1270 in exponential form is:

1270 = 21×51×1271

Prime Factorization of 1277


1277 1277
1

Prime factors of 1277 are 1277. Prime factorization of 1277 in exponential form is:

1277 = 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 1270 and 1277.

LCM(1270,1277) = 21×51×1271×12771
LCM(1270,1277) = 1621790

Factors of 1270

List of positive integer factors of 1270 that divides 1270 without a remainder.

1, 2, 5, 10, 127, 254, 635, 1270

Factors of 1277

List of positive integer factors of 1277 that divides 1277 without a remainder.

1, 1277

Least Common Multiple of 1270 and 1277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1270 and 1277, than apply into the LCM equation.

GCF(1270,1277) = 1
LCM(1270,1277) = ( 1270 × 1277) / 1
LCM(1270,1277) = 1621790 / 1
LCM(1270,1277) = 1621790

Properties of LCM 1270 and 1277

(i) The LCM of 1277 and 1270 is associative

LCM of 1270 and 1277 = LCM of 1277 and 1270

Related Least Common Multiples of 1270

Related Least Common Multiples of 1277

Frequently Asked Questions on LCM of 1270 and 1277

1. What is the LCM of 1270 and 1277?

Answer: LCM of 1270 and 1277 is 1621790.

2. What are the Factors of 1270?

Answer: Factors of 1270 are 1, 2, 5, 10, 127, 254, 635, 1270. There are 8 integers that are factors of 1270. The greatest factor of 1270 is 1270.

3. What are the Factors of 1277?

Answer: Factors of 1277 are 1, 1277. There are 2 integers that are factors of 1277. The greatest factor of 1277 is 1277.

4. How to Find the LCM of 1270 and 1277?

Answer:

Least Common Multiple of 1270 and 1277 = 1621790

Step 1: Find the prime factorization of 1270

1270 = 2 x 5 x 127

Step 2: Find the prime factorization of 1277

1277 = 1277

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

LCM = 1621790 = 2 x 5 x 127 x 1277

Step 4: Therefore, the least common multiple of 1270 and 1277 is 1621790.