Least Common Multiple of 2750 and 2758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2750 and 2758 the smallest integer that is 3792250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2750 and 2758 is 3792250.

LCM(2750,2758) = 3792250

LCM of 2750 and 2758

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

LCM of:
and

Least Common Multiple of 2750 and 2758

LCM of 2750 and 2758 is 3792250

Least common multiple can be found by multiplying the highest exponent prime factors of 2750 and 2758. First we will calculate the prime factors of 2750 and 2758.

Prime Factorization of 2750


2 2750
5 1375
5 275
5 55
11 11
1

Prime factors of 2750 are 2, 5,11. Prime factorization of 2750 in exponential form is:

2750 = 21×53×111

Prime Factorization of 2758


2 2758
7 1379
197 197
1

Prime factors of 2758 are 2, 7,197. Prime factorization of 2758 in exponential form is:

2758 = 21×71×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 2750 and 2758.

LCM(2750,2758) = 21×53×71×111×1971
LCM(2750,2758) = 3792250

Factors of 2750

List of positive integer factors of 2750 that divides 2750 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750

Factors of 2758

List of positive integer factors of 2758 that divides 2758 without a remainder.

1, 2, 7, 14, 197, 394, 1379, 2758

Least Common Multiple of 2750 and 2758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2750 and 2758, than apply into the LCM equation.

GCF(2750,2758) = 2
LCM(2750,2758) = ( 2750 × 2758) / 2
LCM(2750,2758) = 7584500 / 2
LCM(2750,2758) = 3792250

Properties of LCM 2750 and 2758

(i) The LCM of 2758 and 2750 is associative

LCM of 2750 and 2758 = LCM of 2758 and 2750

Related Least Common Multiples of 2750

Related Least Common Multiples of 2758

Frequently Asked Questions on LCM of 2750 and 2758

1. What is the LCM of 2750 and 2758?

Answer: LCM of 2750 and 2758 is 3792250.

2. What are the Factors of 2750?

Answer: Factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750. There are 16 integers that are factors of 2750. The greatest factor of 2750 is 2750.

3. What are the Factors of 2758?

Answer: Factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758. There are 8 integers that are factors of 2758. The greatest factor of 2758 is 2758.

4. How to Find the LCM of 2750 and 2758?

Answer:

Least Common Multiple of 2750 and 2758 = 3792250

Step 1: Find the prime factorization of 2750

2750 = 2 x 5 x 5 x 5 x 11

Step 2: Find the prime factorization of 2758

2758 = 2 x 7 x 197

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

LCM = 3792250 = 2 x 5 x 5 x 5 x 7 x 11 x 197

Step 4: Therefore, the least common multiple of 2750 and 2758 is 3792250.