Least Common Multiple of 942 and 943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 942 and 943 the smallest integer that is 888306 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 943 is 888306.

LCM(942,943) = 888306

LCM of 942 and 943

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

LCM of:
and

Least Common Multiple of 942 and 943

LCM of 942 and 943 is 888306

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 943. First we will calculate the prime factors of 942 and 943.

Prime Factorization of 942


2 942
3 471
157 157
1

Prime factors of 942 are 2, 3,157. Prime factorization of 942 in exponential form is:

942 = 21×31×1571

Prime Factorization of 943


23 943
41 41
1

Prime factors of 943 are 23,41. Prime factorization of 943 in exponential form is:

943 = 231×411

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 943.

LCM(942,943) = 21×31×231×411×1571
LCM(942,943) = 888306

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Least Common Multiple of 942 and 943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 942 and 943, than apply into the LCM equation.

GCF(942,943) = 1
LCM(942,943) = ( 942 × 943) / 1
LCM(942,943) = 888306 / 1
LCM(942,943) = 888306

Properties of LCM 942 and 943

(i) The LCM of 943 and 942 is associative

LCM of 942 and 943 = LCM of 943 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 943

Frequently Asked Questions on LCM of 942 and 943

1. What is the LCM of 942 and 943?

Answer: LCM of 942 and 943 is 888306.

2. What are the Factors of 942?

Answer: Factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942. There are 8 integers that are factors of 942. The greatest factor of 942 is 942.

3. What are the Factors of 943?

Answer: Factors of 943 are 1, 23, 41, 943. There are 4 integers that are factors of 943. The greatest factor of 943 is 943.

4. How to Find the LCM of 942 and 943?

Answer:

Least Common Multiple of 942 and 943 = 888306

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 943

943 = 23 x 41

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

LCM = 888306 = 2 x 3 x 23 x 41 x 157

Step 4: Therefore, the least common multiple of 942 and 943 is 888306.