Least Common Multiple of 46 and 4

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 46 and 4 the smallest integer that is 92 that is divisible by both numbers.

Least Common Multiple (LCM) of 46 and 4 is 92.

LCM(46,4) = 92

LCM of 46 and 4

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

LCM of:
and

Least Common Multiple of 46 and 4

LCM of 46 and 4 is 92

Least common multiple can be found by multiplying the highest exponent prime factors of 46 and 4. First we will calculate the prime factors of 46 and 4.

Prime Factorization of 46


2 46
23 23
1

Prime factors of 46 are 2,23. Prime factorization of 46 in exponential form is:

46 = 21×231

Prime Factorization of 4


2 4
2 2
1

Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

4 = 22

Now multiplying the highest exponent prime factors to calculate the LCM of 46 and 4.

LCM(46,4) = 22×231
LCM(46,4) = 92

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1, 2, 4

Least Common Multiple of 46 and 4 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46 and 4, than apply into the LCM equation.

GCF(46,4) = 2
LCM(46,4) = ( 46 × 4) / 2
LCM(46,4) = 184 / 2
LCM(46,4) = 92

Properties of LCM 46 and 4

(i) The LCM of 4 and 46 is associative

LCM of 46 and 4 = LCM of 4 and 46

Related Least Common Multiples of 46

Related Least Common Multiples of 4

Frequently Asked Questions on LCM of 46 and 4

1. What is the LCM of 46 and 4?

Answer: LCM of 46 and 4 is 92.

2. What are the Factors of 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

3. What are the Factors of 4?

Answer: Factors of 4 are 1, 2, 4. There are 3 integers that are factors of 4. The greatest factor of 4 is 4.

4. How to Find the LCM of 46 and 4?

Answer:

Least Common Multiple of 46 and 4 = 92

Step 1: Find the prime factorization of 46

46 = 2 x 23

Step 2: Find the prime factorization of 4

4 = 2 x 2

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

LCM = 92 = 2 x 2 x 23

Step 4: Therefore, the least common multiple of 46 and 4 is 92.