Least Common Multiple of 148 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 148 and 152 the smallest integer that is 5624 that is divisible by both numbers.

Least Common Multiple (LCM) of 148 and 152 is 5624.

LCM(148,152) = 5624

LCM of 148 and 152

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

LCM of:
and

Least Common Multiple of 148 and 152

LCM of 148 and 152 is 5624

Least common multiple can be found by multiplying the highest exponent prime factors of 148 and 152. First we will calculate the prime factors of 148 and 152.

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 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 148 and 152.

LCM(148,152) = 23×191×371
LCM(148,152) = 5624

Factors of 148

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

1, 2, 4, 37, 74, 148

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 148 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 148 and 152, than apply into the LCM equation.

GCF(148,152) = 4
LCM(148,152) = ( 148 × 152) / 4
LCM(148,152) = 22496 / 4
LCM(148,152) = 5624

Properties of LCM 148 and 152

(i) The LCM of 152 and 148 is associative

LCM of 148 and 152 = LCM of 152 and 148

Related Least Common Multiples of 148

Related Least Common Multiples of 152

Frequently Asked Questions on LCM of 148 and 152

1. What is the LCM of 148 and 152?

Answer: LCM of 148 and 152 is 5624.

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 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 148 and 152?

Answer:

Least Common Multiple of 148 and 152 = 5624

Step 1: Find the prime factorization of 148

148 = 2 x 2 x 37

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 = 5624 = 2 x 2 x 2 x 19 x 37

Step 4: Therefore, the least common multiple of 148 and 152 is 5624.