Least Common Multiple of 6767 and 6770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6767 and 6770 the smallest integer that is 45812590 that is divisible by both numbers.

Least Common Multiple (LCM) of 6767 and 6770 is 45812590.

LCM(6767,6770) = 45812590

LCM of 6767 and 6770

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

LCM of:
and

Least Common Multiple of 6767 and 6770

LCM of 6767 and 6770 is 45812590

Least common multiple can be found by multiplying the highest exponent prime factors of 6767 and 6770. First we will calculate the prime factors of 6767 and 6770.

Prime Factorization of 6767


67 6767
101 101
1

Prime factors of 6767 are 67,101. Prime factorization of 6767 in exponential form is:

6767 = 671×1011

Prime Factorization of 6770


2 6770
5 3385
677 677
1

Prime factors of 6770 are 2, 5,677. Prime factorization of 6770 in exponential form is:

6770 = 21×51×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 6767 and 6770.

LCM(6767,6770) = 21×51×671×1011×6771
LCM(6767,6770) = 45812590

Factors of 6767

List of positive integer factors of 6767 that divides 6767 without a remainder.

1, 67, 101, 6767

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1, 2, 5, 10, 677, 1354, 3385, 6770

Least Common Multiple of 6767 and 6770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6767 and 6770, than apply into the LCM equation.

GCF(6767,6770) = 1
LCM(6767,6770) = ( 6767 × 6770) / 1
LCM(6767,6770) = 45812590 / 1
LCM(6767,6770) = 45812590

Properties of LCM 6767 and 6770

(i) The LCM of 6770 and 6767 is associative

LCM of 6767 and 6770 = LCM of 6770 and 6767

Related Least Common Multiples of 6767

Related Least Common Multiples of 6770

Frequently Asked Questions on LCM of 6767 and 6770

1. What is the LCM of 6767 and 6770?

Answer: LCM of 6767 and 6770 is 45812590.

2. What are the Factors of 6767?

Answer: Factors of 6767 are 1, 67, 101, 6767. There are 4 integers that are factors of 6767. The greatest factor of 6767 is 6767.

3. What are the Factors of 6770?

Answer: Factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770. There are 8 integers that are factors of 6770. The greatest factor of 6770 is 6770.

4. How to Find the LCM of 6767 and 6770?

Answer:

Least Common Multiple of 6767 and 6770 = 45812590

Step 1: Find the prime factorization of 6767

6767 = 67 x 101

Step 2: Find the prime factorization of 6770

6770 = 2 x 5 x 677

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

LCM = 45812590 = 2 x 5 x 67 x 101 x 677

Step 4: Therefore, the least common multiple of 6767 and 6770 is 45812590.