Least Common Multiple of 5961 and 5969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5961 and 5969 the smallest integer that is 35581209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5961 and 5969 is 35581209.

LCM(5961,5969) = 35581209

LCM of 5961 and 5969

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

LCM of:
and

Least Common Multiple of 5961 and 5969

LCM of 5961 and 5969 is 35581209

Least common multiple can be found by multiplying the highest exponent prime factors of 5961 and 5969. First we will calculate the prime factors of 5961 and 5969.

Prime Factorization of 5961


3 5961
1987 1987
1

Prime factors of 5961 are 3,1987. Prime factorization of 5961 in exponential form is:

5961 = 31×19871

Prime Factorization of 5969


47 5969
127 127
1

Prime factors of 5969 are 47,127. Prime factorization of 5969 in exponential form is:

5969 = 471×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5961 and 5969.

LCM(5961,5969) = 31×471×1271×19871
LCM(5961,5969) = 35581209

Factors of 5961

List of positive integer factors of 5961 that divides 5961 without a remainder.

1, 3, 1987, 5961

Factors of 5969

List of positive integer factors of 5969 that divides 5969 without a remainder.

1, 47, 127, 5969

Least Common Multiple of 5961 and 5969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5961 and 5969, than apply into the LCM equation.

GCF(5961,5969) = 1
LCM(5961,5969) = ( 5961 × 5969) / 1
LCM(5961,5969) = 35581209 / 1
LCM(5961,5969) = 35581209

Properties of LCM 5961 and 5969

(i) The LCM of 5969 and 5961 is associative

LCM of 5961 and 5969 = LCM of 5969 and 5961

Related Least Common Multiples of 5961

Related Least Common Multiples of 5969

Frequently Asked Questions on LCM of 5961 and 5969

1. What is the LCM of 5961 and 5969?

Answer: LCM of 5961 and 5969 is 35581209.

2. What are the Factors of 5961?

Answer: Factors of 5961 are 1, 3, 1987, 5961. There are 4 integers that are factors of 5961. The greatest factor of 5961 is 5961.

3. What are the Factors of 5969?

Answer: Factors of 5969 are 1, 47, 127, 5969. There are 4 integers that are factors of 5969. The greatest factor of 5969 is 5969.

4. How to Find the LCM of 5961 and 5969?

Answer:

Least Common Multiple of 5961 and 5969 = 35581209

Step 1: Find the prime factorization of 5961

5961 = 3 x 1987

Step 2: Find the prime factorization of 5969

5969 = 47 x 127

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

LCM = 35581209 = 3 x 47 x 127 x 1987

Step 4: Therefore, the least common multiple of 5961 and 5969 is 35581209.