Least Common Multiple of 146 and 148

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 148 the smallest integer that is 10804 that is divisible by both numbers.

Least Common Multiple (LCM) of 146 and 148 is 10804.

LCM(146,148) = 10804

LCM of 146 and 148

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

LCM of:
and

Least Common Multiple of 146 and 148

LCM of 146 and 148 is 10804

Least common multiple can be found by multiplying the highest exponent prime factors of 146 and 148. First we will calculate the prime factors of 146 and 148.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 146 and 148.

LCM(146,148) = 22×371×731
LCM(146,148) = 10804

Factors of 146

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

1, 2, 73, 146

Factors of 148

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

1, 2, 4, 37, 74, 148

Least Common Multiple of 146 and 148 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 148, than apply into the LCM equation.

GCF(146,148) = 2
LCM(146,148) = ( 146 × 148) / 2
LCM(146,148) = 21608 / 2
LCM(146,148) = 10804

Properties of LCM 146 and 148

(i) The LCM of 148 and 146 is associative

LCM of 146 and 148 = LCM of 148 and 146

Related Least Common Multiples of 146

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 146 and 148

1. What is the LCM of 146 and 148?

Answer: LCM of 146 and 148 is 10804.

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 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.

4. How to Find the LCM of 146 and 148?

Answer:

Least Common Multiple of 146 and 148 = 10804

Step 1: Find the prime factorization of 146

146 = 2 x 73

Step 2: Find the prime factorization of 148

148 = 2 x 2 x 37

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

LCM = 10804 = 2 x 2 x 37 x 73

Step 4: Therefore, the least common multiple of 146 and 148 is 10804.