Least Common Multiple of 6758 and 6762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6758 and 6762 the smallest integer that is 22848798 that is divisible by both numbers.

Least Common Multiple (LCM) of 6758 and 6762 is 22848798.

LCM(6758,6762) = 22848798

LCM of 6758 and 6762

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

LCM of:
and

Least Common Multiple of 6758 and 6762

LCM of 6758 and 6762 is 22848798

Least common multiple can be found by multiplying the highest exponent prime factors of 6758 and 6762. First we will calculate the prime factors of 6758 and 6762.

Prime Factorization of 6758


2 6758
31 3379
109 109
1

Prime factors of 6758 are 2, 31,109. Prime factorization of 6758 in exponential form is:

6758 = 21×311×1091

Prime Factorization of 6762


2 6762
3 3381
7 1127
7 161
23 23
1

Prime factors of 6762 are 2, 3, 7,23. Prime factorization of 6762 in exponential form is:

6762 = 21×31×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6758 and 6762.

LCM(6758,6762) = 21×31×72×231×311×1091
LCM(6758,6762) = 22848798

Factors of 6758

List of positive integer factors of 6758 that divides 6758 without a remainder.

1, 2, 31, 62, 109, 218, 3379, 6758

Factors of 6762

List of positive integer factors of 6762 that divides 6762 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762

Least Common Multiple of 6758 and 6762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6758 and 6762, than apply into the LCM equation.

GCF(6758,6762) = 2
LCM(6758,6762) = ( 6758 × 6762) / 2
LCM(6758,6762) = 45697596 / 2
LCM(6758,6762) = 22848798

Properties of LCM 6758 and 6762

(i) The LCM of 6762 and 6758 is associative

LCM of 6758 and 6762 = LCM of 6762 and 6758

Related Least Common Multiples of 6758

Related Least Common Multiples of 6762

Frequently Asked Questions on LCM of 6758 and 6762

1. What is the LCM of 6758 and 6762?

Answer: LCM of 6758 and 6762 is 22848798.

2. What are the Factors of 6758?

Answer: Factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758. There are 8 integers that are factors of 6758. The greatest factor of 6758 is 6758.

3. What are the Factors of 6762?

Answer: Factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762. There are 24 integers that are factors of 6762. The greatest factor of 6762 is 6762.

4. How to Find the LCM of 6758 and 6762?

Answer:

Least Common Multiple of 6758 and 6762 = 22848798

Step 1: Find the prime factorization of 6758

6758 = 2 x 31 x 109

Step 2: Find the prime factorization of 6762

6762 = 2 x 3 x 7 x 7 x 23

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

LCM = 22848798 = 2 x 3 x 7 x 7 x 23 x 31 x 109

Step 4: Therefore, the least common multiple of 6758 and 6762 is 22848798.