Least Common Multiple of 942 and 948

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 948 the smallest integer that is 148836 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 948 is 148836.

LCM(942,948) = 148836

LCM of 942 and 948

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

LCM of:
and

Least Common Multiple of 942 and 948

LCM of 942 and 948 is 148836

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 948. First we will calculate the prime factors of 942 and 948.

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 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 948.

LCM(942,948) = 22×31×791×1571
LCM(942,948) = 148836

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 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Least Common Multiple of 942 and 948 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 948, than apply into the LCM equation.

GCF(942,948) = 6
LCM(942,948) = ( 942 × 948) / 6
LCM(942,948) = 893016 / 6
LCM(942,948) = 148836

Properties of LCM 942 and 948

(i) The LCM of 948 and 942 is associative

LCM of 942 and 948 = LCM of 948 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 948

Frequently Asked Questions on LCM of 942 and 948

1. What is the LCM of 942 and 948?

Answer: LCM of 942 and 948 is 148836.

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 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

4. How to Find the LCM of 942 and 948?

Answer:

Least Common Multiple of 942 and 948 = 148836

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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

LCM = 148836 = 2 x 2 x 3 x 79 x 157

Step 4: Therefore, the least common multiple of 942 and 948 is 148836.