Least Common Multiple of 3148 and 3152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3148 and 3152 the smallest integer that is 2480624 that is divisible by both numbers.

Least Common Multiple (LCM) of 3148 and 3152 is 2480624.

LCM(3148,3152) = 2480624

LCM of 3148 and 3152

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

LCM of:
and

Least Common Multiple of 3148 and 3152

LCM of 3148 and 3152 is 2480624

Least common multiple can be found by multiplying the highest exponent prime factors of 3148 and 3152. First we will calculate the prime factors of 3148 and 3152.

Prime Factorization of 3148


2 3148
2 1574
787 787
1

Prime factors of 3148 are 2,787. Prime factorization of 3148 in exponential form is:

3148 = 22×7871

Prime Factorization of 3152


2 3152
2 1576
2 788
2 394
197 197
1

Prime factors of 3152 are 2,197. Prime factorization of 3152 in exponential form is:

3152 = 24×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 3148 and 3152.

LCM(3148,3152) = 24×1971×7871
LCM(3148,3152) = 2480624

Factors of 3148

List of positive integer factors of 3148 that divides 3148 without a remainder.

1, 2, 4, 787, 1574, 3148

Factors of 3152

List of positive integer factors of 3152 that divides 3152 without a remainder.

1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152

Least Common Multiple of 3148 and 3152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3148 and 3152, than apply into the LCM equation.

GCF(3148,3152) = 4
LCM(3148,3152) = ( 3148 × 3152) / 4
LCM(3148,3152) = 9922496 / 4
LCM(3148,3152) = 2480624

Properties of LCM 3148 and 3152

(i) The LCM of 3152 and 3148 is associative

LCM of 3148 and 3152 = LCM of 3152 and 3148

Related Least Common Multiples of 3148

Related Least Common Multiples of 3152

Frequently Asked Questions on LCM of 3148 and 3152

1. What is the LCM of 3148 and 3152?

Answer: LCM of 3148 and 3152 is 2480624.

2. What are the Factors of 3148?

Answer: Factors of 3148 are 1, 2, 4, 787, 1574, 3148. There are 6 integers that are factors of 3148. The greatest factor of 3148 is 3148.

3. What are the Factors of 3152?

Answer: Factors of 3152 are 1, 2, 4, 8, 16, 197, 394, 788, 1576, 3152. There are 10 integers that are factors of 3152. The greatest factor of 3152 is 3152.

4. How to Find the LCM of 3148 and 3152?

Answer:

Least Common Multiple of 3148 and 3152 = 2480624

Step 1: Find the prime factorization of 3148

3148 = 2 x 2 x 787

Step 2: Find the prime factorization of 3152

3152 = 2 x 2 x 2 x 2 x 197

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

LCM = 2480624 = 2 x 2 x 2 x 2 x 197 x 787

Step 4: Therefore, the least common multiple of 3148 and 3152 is 2480624.