Least Common Multiple of 148 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 148 and 154 the smallest integer that is 11396 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 154 is 11396.

LCM(148,154) = 11396

LCM of 148 and 154

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

LCM of:
and

Least Common Multiple of 148 and 154

LCM of 148 and 154 is 11396

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 154. First we will calculate the prime factors of 148 and 154.

Prime Factorization of 148


2 148
2 74
37 37
1

Prime factors of 148 are 2,37. Prime factorization of 148 in exponential form is:

148 = 22×371

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 148 and 154.

LCM(148,154) = 22×71×111×371
LCM(148,154) = 11396

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

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 148 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 148 and 154, than apply into the LCM equation.

GCF(148,154) = 2
LCM(148,154) = ( 148 × 154) / 2
LCM(148,154) = 22792 / 2
LCM(148,154) = 11396

Properties of LCM 148 and 154

(i) The LCM of 154 and 148 is associative

LCM of 148 and 154 = LCM of 154 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 154

Frequently Asked Questions on LCM of 148 and 154

1. What is the LCM of 148 and 154?

Answer: LCM of 148 and 154 is 11396.

2. What are the Factors of 148?

Answer: Factors of 148 are 1, 2, 4, 37, 74, 148. There are 6 integers that are factors of 148. The greatest factor of 148 is 148.

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 148 and 154?

Answer:

Least Common Multiple of 148 and 154 = 11396

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

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 = 11396 = 2 x 2 x 7 x 11 x 37

Step 4: Therefore, the least common multiple of 148 and 154 is 11396.