Least Common Multiple of 6962 and 6967

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6962 and 6967 the smallest integer that is 48504254 that is divisible by both numbers.

Least Common Multiple (LCM) of 6962 and 6967 is 48504254.

LCM(6962,6967) = 48504254

LCM of 6962 and 6967

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

LCM of:
and

Least Common Multiple of 6962 and 6967

LCM of 6962 and 6967 is 48504254

Least common multiple can be found by multiplying the highest exponent prime factors of 6962 and 6967. First we will calculate the prime factors of 6962 and 6967.

Prime Factorization of 6962


2 6962
59 3481
59 59
1

Prime factors of 6962 are 2,59. Prime factorization of 6962 in exponential form is:

6962 = 21×592

Prime Factorization of 6967


6967 6967
1

Prime factors of 6967 are 6967. Prime factorization of 6967 in exponential form is:

6967 = 69671

Now multiplying the highest exponent prime factors to calculate the LCM of 6962 and 6967.

LCM(6962,6967) = 21×592×69671
LCM(6962,6967) = 48504254

Factors of 6962

List of positive integer factors of 6962 that divides 6962 without a remainder.

1, 2, 59, 118, 3481, 6962

Factors of 6967

List of positive integer factors of 6967 that divides 6967 without a remainder.

1, 6967

Least Common Multiple of 6962 and 6967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6962 and 6967, than apply into the LCM equation.

GCF(6962,6967) = 1
LCM(6962,6967) = ( 6962 × 6967) / 1
LCM(6962,6967) = 48504254 / 1
LCM(6962,6967) = 48504254

Properties of LCM 6962 and 6967

(i) The LCM of 6967 and 6962 is associative

LCM of 6962 and 6967 = LCM of 6967 and 6962

Related Least Common Multiples of 6962

Related Least Common Multiples of 6967

Frequently Asked Questions on LCM of 6962 and 6967

1. What is the LCM of 6962 and 6967?

Answer: LCM of 6962 and 6967 is 48504254.

2. What are the Factors of 6962?

Answer: Factors of 6962 are 1, 2, 59, 118, 3481, 6962. There are 6 integers that are factors of 6962. The greatest factor of 6962 is 6962.

3. What are the Factors of 6967?

Answer: Factors of 6967 are 1, 6967. There are 2 integers that are factors of 6967. The greatest factor of 6967 is 6967.

4. How to Find the LCM of 6962 and 6967?

Answer:

Least Common Multiple of 6962 and 6967 = 48504254

Step 1: Find the prime factorization of 6962

6962 = 2 x 59 x 59

Step 2: Find the prime factorization of 6967

6967 = 6967

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

LCM = 48504254 = 2 x 59 x 59 x 6967

Step 4: Therefore, the least common multiple of 6962 and 6967 is 48504254.