Least Common Multiple of 46 and 50

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 50 the smallest integer that is 1150 that is divisible by both numbers.

Least Common Multiple (LCM) of 46 and 50 is 1150.

LCM(46,50) = 1150

LCM of 46 and 50

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

LCM of:
and

Least Common Multiple of 46 and 50

LCM of 46 and 50 is 1150

Least common multiple can be found by multiplying the highest exponent prime factors of 46 and 50. First we will calculate the prime factors of 46 and 50.

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 50


2 50
5 25
5 5
1

Prime factors of 50 are 2,5. Prime factorization of 50 in exponential form is:

50 = 21×52

Now multiplying the highest exponent prime factors to calculate the LCM of 46 and 50.

LCM(46,50) = 21×52×231
LCM(46,50) = 1150

Factors of 46

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

1, 2, 23, 46

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Least Common Multiple of 46 and 50 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 50, than apply into the LCM equation.

GCF(46,50) = 2
LCM(46,50) = ( 46 × 50) / 2
LCM(46,50) = 2300 / 2
LCM(46,50) = 1150

Properties of LCM 46 and 50

(i) The LCM of 50 and 46 is associative

LCM of 46 and 50 = LCM of 50 and 46

Related Least Common Multiples of 46

Related Least Common Multiples of 50

Frequently Asked Questions on LCM of 46 and 50

1. What is the LCM of 46 and 50?

Answer: LCM of 46 and 50 is 1150.

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 50?

Answer: Factors of 50 are 1, 2, 5, 10, 25, 50. There are 6 integers that are factors of 50. The greatest factor of 50 is 50.

4. How to Find the LCM of 46 and 50?

Answer:

Least Common Multiple of 46 and 50 = 1150

Step 1: Find the prime factorization of 46

46 = 2 x 23

Step 2: Find the prime factorization of 50

50 = 2 x 5 x 5

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

LCM = 1150 = 2 x 5 x 5 x 23

Step 4: Therefore, the least common multiple of 46 and 50 is 1150.