Least Common Multiple of 2759 and 2767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2759 and 2767 the smallest integer that is 7634153 that is divisible by both numbers.

Least Common Multiple (LCM) of 2759 and 2767 is 7634153.

LCM(2759,2767) = 7634153

LCM of 2759 and 2767

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

LCM of:
and

Least Common Multiple of 2759 and 2767

LCM of 2759 and 2767 is 7634153

Least common multiple can be found by multiplying the highest exponent prime factors of 2759 and 2767. First we will calculate the prime factors of 2759 and 2767.

Prime Factorization of 2759


31 2759
89 89
1

Prime factors of 2759 are 31,89. Prime factorization of 2759 in exponential form is:

2759 = 311×891

Prime Factorization of 2767


2767 2767
1

Prime factors of 2767 are 2767. Prime factorization of 2767 in exponential form is:

2767 = 27671

Now multiplying the highest exponent prime factors to calculate the LCM of 2759 and 2767.

LCM(2759,2767) = 311×891×27671
LCM(2759,2767) = 7634153

Factors of 2759

List of positive integer factors of 2759 that divides 2759 without a remainder.

1, 31, 89, 2759

Factors of 2767

List of positive integer factors of 2767 that divides 2767 without a remainder.

1, 2767

Least Common Multiple of 2759 and 2767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2759 and 2767, than apply into the LCM equation.

GCF(2759,2767) = 1
LCM(2759,2767) = ( 2759 × 2767) / 1
LCM(2759,2767) = 7634153 / 1
LCM(2759,2767) = 7634153

Properties of LCM 2759 and 2767

(i) The LCM of 2767 and 2759 is associative

LCM of 2759 and 2767 = LCM of 2767 and 2759

Related Least Common Multiples of 2759

Related Least Common Multiples of 2767

Frequently Asked Questions on LCM of 2759 and 2767

1. What is the LCM of 2759 and 2767?

Answer: LCM of 2759 and 2767 is 7634153.

2. What are the Factors of 2759?

Answer: Factors of 2759 are 1, 31, 89, 2759. There are 4 integers that are factors of 2759. The greatest factor of 2759 is 2759.

3. What are the Factors of 2767?

Answer: Factors of 2767 are 1, 2767. There are 2 integers that are factors of 2767. The greatest factor of 2767 is 2767.

4. How to Find the LCM of 2759 and 2767?

Answer:

Least Common Multiple of 2759 and 2767 = 7634153

Step 1: Find the prime factorization of 2759

2759 = 31 x 89

Step 2: Find the prime factorization of 2767

2767 = 2767

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

LCM = 7634153 = 31 x 89 x 2767

Step 4: Therefore, the least common multiple of 2759 and 2767 is 7634153.