Least Common Multiple of 1546 and 1552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1546 and 1552 the smallest integer that is 1199696 that is divisible by both numbers.

Least Common Multiple (LCM) of 1546 and 1552 is 1199696.

LCM(1546,1552) = 1199696

LCM of 1546 and 1552

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

LCM of:
and

Least Common Multiple of 1546 and 1552

LCM of 1546 and 1552 is 1199696

Least common multiple can be found by multiplying the highest exponent prime factors of 1546 and 1552. First we will calculate the prime factors of 1546 and 1552.

Prime Factorization of 1546


2 1546
773 773
1

Prime factors of 1546 are 2,773. Prime factorization of 1546 in exponential form is:

1546 = 21×7731

Prime Factorization of 1552


2 1552
2 776
2 388
2 194
97 97
1

Prime factors of 1552 are 2,97. Prime factorization of 1552 in exponential form is:

1552 = 24×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1546 and 1552.

LCM(1546,1552) = 24×971×7731
LCM(1546,1552) = 1199696

Factors of 1546

List of positive integer factors of 1546 that divides 1546 without a remainder.

1, 2, 773, 1546

Factors of 1552

List of positive integer factors of 1552 that divides 1552 without a remainder.

1, 2, 4, 8, 16, 97, 194, 388, 776, 1552

Least Common Multiple of 1546 and 1552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1546 and 1552, than apply into the LCM equation.

GCF(1546,1552) = 2
LCM(1546,1552) = ( 1546 × 1552) / 2
LCM(1546,1552) = 2399392 / 2
LCM(1546,1552) = 1199696

Properties of LCM 1546 and 1552

(i) The LCM of 1552 and 1546 is associative

LCM of 1546 and 1552 = LCM of 1552 and 1546

Related Least Common Multiples of 1546

Related Least Common Multiples of 1552

Frequently Asked Questions on LCM of 1546 and 1552

1. What is the LCM of 1546 and 1552?

Answer: LCM of 1546 and 1552 is 1199696.

2. What are the Factors of 1546?

Answer: Factors of 1546 are 1, 2, 773, 1546. There are 4 integers that are factors of 1546. The greatest factor of 1546 is 1546.

3. What are the Factors of 1552?

Answer: Factors of 1552 are 1, 2, 4, 8, 16, 97, 194, 388, 776, 1552. There are 10 integers that are factors of 1552. The greatest factor of 1552 is 1552.

4. How to Find the LCM of 1546 and 1552?

Answer:

Least Common Multiple of 1546 and 1552 = 1199696

Step 1: Find the prime factorization of 1546

1546 = 2 x 773

Step 2: Find the prime factorization of 1552

1552 = 2 x 2 x 2 x 2 x 97

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

LCM = 1199696 = 2 x 2 x 2 x 2 x 97 x 773

Step 4: Therefore, the least common multiple of 1546 and 1552 is 1199696.