Least Common Multiple of 146 and 154

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 154 the smallest integer that is 11242 that is divisible by both numbers.

Least Common Multiple (LCM) of 146 and 154 is 11242.

LCM(146,154) = 11242

LCM of 146 and 154

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

LCM of:
and

Least Common Multiple of 146 and 154

LCM of 146 and 154 is 11242

Least common multiple can be found by multiplying the highest exponent prime factors of 146 and 154. First we will calculate the prime factors of 146 and 154.

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 154


2 154
7 77
11 11
1

Prime factors of 154 are 2, 7,11. Prime factorization of 154 in exponential form is:

154 = 21×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 146 and 154.

LCM(146,154) = 21×71×111×731
LCM(146,154) = 11242

Factors of 146

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

1, 2, 73, 146

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Least Common Multiple of 146 and 154 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 154, than apply into the LCM equation.

GCF(146,154) = 2
LCM(146,154) = ( 146 × 154) / 2
LCM(146,154) = 22484 / 2
LCM(146,154) = 11242

Properties of LCM 146 and 154

(i) The LCM of 154 and 146 is associative

LCM of 146 and 154 = LCM of 154 and 146

Related Least Common Multiples of 146

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 146 and 154

1. What is the LCM of 146 and 154?

Answer: LCM of 146 and 154 is 11242.

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 154?

Answer: Factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154. There are 8 integers that are factors of 154. The greatest factor of 154 is 154.

4. How to Find the LCM of 146 and 154?

Answer:

Least Common Multiple of 146 and 154 = 11242

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 154

154 = 2 x 7 x 11

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

LCM = 11242 = 2 x 7 x 11 x 73

Step 4: Therefore, the least common multiple of 146 and 154 is 11242.