Least Common Multiple of 5942 and 5949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5942 and 5949 the smallest integer that is 35348958 that is divisible by both numbers.

Least Common Multiple (LCM) of 5942 and 5949 is 35348958.

LCM(5942,5949) = 35348958

LCM of 5942 and 5949

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

LCM of:
and

Least Common Multiple of 5942 and 5949

LCM of 5942 and 5949 is 35348958

Least common multiple can be found by multiplying the highest exponent prime factors of 5942 and 5949. First we will calculate the prime factors of 5942 and 5949.

Prime Factorization of 5942


2 5942
2971 2971
1

Prime factors of 5942 are 2,2971. Prime factorization of 5942 in exponential form is:

5942 = 21×29711

Prime Factorization of 5949


3 5949
3 1983
661 661
1

Prime factors of 5949 are 3,661. Prime factorization of 5949 in exponential form is:

5949 = 32×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 5942 and 5949.

LCM(5942,5949) = 21×32×6611×29711
LCM(5942,5949) = 35348958

Factors of 5942

List of positive integer factors of 5942 that divides 5942 without a remainder.

1, 2, 2971, 5942

Factors of 5949

List of positive integer factors of 5949 that divides 5949 without a remainder.

1, 3, 9, 661, 1983, 5949

Least Common Multiple of 5942 and 5949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5942 and 5949, than apply into the LCM equation.

GCF(5942,5949) = 1
LCM(5942,5949) = ( 5942 × 5949) / 1
LCM(5942,5949) = 35348958 / 1
LCM(5942,5949) = 35348958

Properties of LCM 5942 and 5949

(i) The LCM of 5949 and 5942 is associative

LCM of 5942 and 5949 = LCM of 5949 and 5942

Related Least Common Multiples of 5942

Related Least Common Multiples of 5949

Frequently Asked Questions on LCM of 5942 and 5949

1. What is the LCM of 5942 and 5949?

Answer: LCM of 5942 and 5949 is 35348958.

2. What are the Factors of 5942?

Answer: Factors of 5942 are 1, 2, 2971, 5942. There are 4 integers that are factors of 5942. The greatest factor of 5942 is 5942.

3. What are the Factors of 5949?

Answer: Factors of 5949 are 1, 3, 9, 661, 1983, 5949. There are 6 integers that are factors of 5949. The greatest factor of 5949 is 5949.

4. How to Find the LCM of 5942 and 5949?

Answer:

Least Common Multiple of 5942 and 5949 = 35348958

Step 1: Find the prime factorization of 5942

5942 = 2 x 2971

Step 2: Find the prime factorization of 5949

5949 = 3 x 3 x 661

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

LCM = 35348958 = 2 x 3 x 3 x 661 x 2971

Step 4: Therefore, the least common multiple of 5942 and 5949 is 35348958.