Least Common Multiple of 1048 and 1052

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1048 and 1052 the smallest integer that is 275624 that is divisible by both numbers.

Least Common Multiple (LCM) of 1048 and 1052 is 275624.

LCM(1048,1052) = 275624

LCM of 1048 and 1052

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

LCM of:
and

Least Common Multiple of 1048 and 1052

LCM of 1048 and 1052 is 275624

Least common multiple can be found by multiplying the highest exponent prime factors of 1048 and 1052. First we will calculate the prime factors of 1048 and 1052.

Prime Factorization of 1048


2 1048
2 524
2 262
131 131
1

Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:

1048 = 23×1311

Prime Factorization of 1052


2 1052
2 526
263 263
1

Prime factors of 1052 are 2,263. Prime factorization of 1052 in exponential form is:

1052 = 22×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 1048 and 1052.

LCM(1048,1052) = 23×1311×2631
LCM(1048,1052) = 275624

Factors of 1048

List of positive integer factors of 1048 that divides 1048 without a remainder.

1, 2, 4, 8, 131, 262, 524, 1048

Factors of 1052

List of positive integer factors of 1052 that divides 1052 without a remainder.

1, 2, 4, 263, 526, 1052

Least Common Multiple of 1048 and 1052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1048 and 1052, than apply into the LCM equation.

GCF(1048,1052) = 4
LCM(1048,1052) = ( 1048 × 1052) / 4
LCM(1048,1052) = 1102496 / 4
LCM(1048,1052) = 275624

Properties of LCM 1048 and 1052

(i) The LCM of 1052 and 1048 is associative

LCM of 1048 and 1052 = LCM of 1052 and 1048

Related Least Common Multiples of 1048

Related Least Common Multiples of 1052

Frequently Asked Questions on LCM of 1048 and 1052

1. What is the LCM of 1048 and 1052?

Answer: LCM of 1048 and 1052 is 275624.

2. What are the Factors of 1048?

Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.

3. What are the Factors of 1052?

Answer: Factors of 1052 are 1, 2, 4, 263, 526, 1052. There are 6 integers that are factors of 1052. The greatest factor of 1052 is 1052.

4. How to Find the LCM of 1048 and 1052?

Answer:

Least Common Multiple of 1048 and 1052 = 275624

Step 1: Find the prime factorization of 1048

1048 = 2 x 2 x 2 x 131

Step 2: Find the prime factorization of 1052

1052 = 2 x 2 x 263

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

LCM = 275624 = 2 x 2 x 2 x 131 x 263

Step 4: Therefore, the least common multiple of 1048 and 1052 is 275624.