Least Common Multiple of 548 and 551

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 548 and 551 the smallest integer that is 301948 that is divisible by both numbers.

Least Common Multiple (LCM) of 548 and 551 is 301948.

LCM(548,551) = 301948

LCM of 548 and 551

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

LCM of:
and

Least Common Multiple of 548 and 551

LCM of 548 and 551 is 301948

Least common multiple can be found by multiplying the highest exponent prime factors of 548 and 551. First we will calculate the prime factors of 548 and 551.

Prime Factorization of 548


2 548
2 274
137 137
1

Prime factors of 548 are 2,137. Prime factorization of 548 in exponential form is:

548 = 22×1371

Prime Factorization of 551


19 551
29 29
1

Prime factors of 551 are 19,29. Prime factorization of 551 in exponential form is:

551 = 191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 548 and 551.

LCM(548,551) = 22×191×291×1371
LCM(548,551) = 301948

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Least Common Multiple of 548 and 551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 548 and 551, than apply into the LCM equation.

GCF(548,551) = 1
LCM(548,551) = ( 548 × 551) / 1
LCM(548,551) = 301948 / 1
LCM(548,551) = 301948

Properties of LCM 548 and 551

(i) The LCM of 551 and 548 is associative

LCM of 548 and 551 = LCM of 551 and 548

Related Least Common Multiples of 548

Related Least Common Multiples of 551

Frequently Asked Questions on LCM of 548 and 551

1. What is the LCM of 548 and 551?

Answer: LCM of 548 and 551 is 301948.

2. What are the Factors of 548?

Answer: Factors of 548 are 1, 2, 4, 137, 274, 548. There are 6 integers that are factors of 548. The greatest factor of 548 is 548.

3. What are the Factors of 551?

Answer: Factors of 551 are 1, 19, 29, 551. There are 4 integers that are factors of 551. The greatest factor of 551 is 551.

4. How to Find the LCM of 548 and 551?

Answer:

Least Common Multiple of 548 and 551 = 301948

Step 1: Find the prime factorization of 548

548 = 2 x 2 x 137

Step 2: Find the prime factorization of 551

551 = 19 x 29

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

LCM = 301948 = 2 x 2 x 19 x 29 x 137

Step 4: Therefore, the least common multiple of 548 and 551 is 301948.