Least Common Multiple of 147 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 147 and 148 the smallest integer that is 21756 that is divisible by both numbers.

Least Common Multiple (LCM) of 147 and 148 is 21756.

LCM(147,148) = 21756

LCM of 147 and 148

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

LCM of:
and

Least Common Multiple of 147 and 148

LCM of 147 and 148 is 21756

Least common multiple can be found by multiplying the highest exponent prime factors of 147 and 148. First we will calculate the prime factors of 147 and 148.

Prime Factorization of 147


3 147
7 49
7 7
1

Prime factors of 147 are 3,7. Prime factorization of 147 in exponential form is:

147 = 31×72

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 147 and 148.

LCM(147,148) = 22×31×72×371
LCM(147,148) = 21756

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

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 147 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 147 and 148, than apply into the LCM equation.

GCF(147,148) = 1
LCM(147,148) = ( 147 × 148) / 1
LCM(147,148) = 21756 / 1
LCM(147,148) = 21756

Properties of LCM 147 and 148

(i) The LCM of 148 and 147 is associative

LCM of 147 and 148 = LCM of 148 and 147

Related Least Common Multiples of 147

Related Least Common Multiples of 148

Frequently Asked Questions on LCM of 147 and 148

1. What is the LCM of 147 and 148?

Answer: LCM of 147 and 148 is 21756.

2. What are the Factors of 147?

Answer: Factors of 147 are 1, 3, 7, 21, 49, 147. There are 6 integers that are factors of 147. The greatest factor of 147 is 147.

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 147 and 148?

Answer:

Least Common Multiple of 147 and 148 = 21756

Step 1: Find the prime factorization of 147

147 = 3 x 7 x 7

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 = 21756 = 2 x 2 x 3 x 7 x 7 x 37

Step 4: Therefore, the least common multiple of 147 and 148 is 21756.