Least Common Multiple of 146 and 152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 146 and 152 the smallest integer that is 11096 that is divisible by both numbers.

Least Common Multiple (LCM) of 146 and 152 is 11096.

LCM(146,152) = 11096

LCM of 146 and 152

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

LCM of:
and

Least Common Multiple of 146 and 152

LCM of 146 and 152 is 11096

Least common multiple can be found by multiplying the highest exponent prime factors of 146 and 152. First we will calculate the prime factors of 146 and 152.

Prime Factorization of 146


2 146
73 73
1

Prime factors of 146 are 2,73. Prime factorization of 146 in exponential form is:

146 = 21×731

Prime Factorization of 152


2 152
2 76
2 38
19 19
1

Prime factors of 152 are 2,19. Prime factorization of 152 in exponential form is:

152 = 23×191

Now multiplying the highest exponent prime factors to calculate the LCM of 146 and 152.

LCM(146,152) = 23×191×731
LCM(146,152) = 11096

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Least Common Multiple of 146 and 152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 146 and 152, than apply into the LCM equation.

GCF(146,152) = 2
LCM(146,152) = ( 146 × 152) / 2
LCM(146,152) = 22192 / 2
LCM(146,152) = 11096

Properties of LCM 146 and 152

(i) The LCM of 152 and 146 is associative

LCM of 146 and 152 = LCM of 152 and 146

Related Least Common Multiples of 146

Related Least Common Multiples of 152

Frequently Asked Questions on LCM of 146 and 152

1. What is the LCM of 146 and 152?

Answer: LCM of 146 and 152 is 11096.

2. What are the Factors of 146?

Answer: Factors of 146 are 1, 2, 73, 146. There are 4 integers that are factors of 146. The greatest factor of 146 is 146.

3. What are the Factors of 152?

Answer: Factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152. There are 8 integers that are factors of 152. The greatest factor of 152 is 152.

4. How to Find the LCM of 146 and 152?

Answer:

Least Common Multiple of 146 and 152 = 11096

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 152

152 = 2 x 2 x 2 x 19

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

LCM = 11096 = 2 x 2 x 2 x 19 x 73

Step 4: Therefore, the least common multiple of 146 and 152 is 11096.