Least Common Multiple of 942 and 946

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 946 the smallest integer that is 445566 that is divisible by both numbers.

Least Common Multiple (LCM) of 942 and 946 is 445566.

LCM(942,946) = 445566

LCM of 942 and 946

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

LCM of:
and

Least Common Multiple of 942 and 946

LCM of 942 and 946 is 445566

Least common multiple can be found by multiplying the highest exponent prime factors of 942 and 946. First we will calculate the prime factors of 942 and 946.

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 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

Now multiplying the highest exponent prime factors to calculate the LCM of 942 and 946.

LCM(942,946) = 21×31×111×431×1571
LCM(942,946) = 445566

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 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Least Common Multiple of 942 and 946 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 946, than apply into the LCM equation.

GCF(942,946) = 2
LCM(942,946) = ( 942 × 946) / 2
LCM(942,946) = 891132 / 2
LCM(942,946) = 445566

Properties of LCM 942 and 946

(i) The LCM of 946 and 942 is associative

LCM of 942 and 946 = LCM of 946 and 942

Related Least Common Multiples of 942

Related Least Common Multiples of 946

Frequently Asked Questions on LCM of 942 and 946

1. What is the LCM of 942 and 946?

Answer: LCM of 942 and 946 is 445566.

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 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

4. How to Find the LCM of 942 and 946?

Answer:

Least Common Multiple of 942 and 946 = 445566

Step 1: Find the prime factorization of 942

942 = 2 x 3 x 157

Step 2: Find the prime factorization of 946

946 = 2 x 11 x 43

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

LCM = 445566 = 2 x 3 x 11 x 43 x 157

Step 4: Therefore, the least common multiple of 942 and 946 is 445566.