Least Common Multiple of 1538 and 1546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1538 and 1546 the smallest integer that is 1188874 that is divisible by both numbers.

Least Common Multiple (LCM) of 1538 and 1546 is 1188874.

LCM(1538,1546) = 1188874

LCM of 1538 and 1546

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

LCM of:
and

Least Common Multiple of 1538 and 1546

LCM of 1538 and 1546 is 1188874

Least common multiple can be found by multiplying the highest exponent prime factors of 1538 and 1546. First we will calculate the prime factors of 1538 and 1546.

Prime Factorization of 1538


2 1538
769 769
1

Prime factors of 1538 are 2,769. Prime factorization of 1538 in exponential form is:

1538 = 21×7691

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1538 and 1546.

LCM(1538,1546) = 21×7691×7731
LCM(1538,1546) = 1188874

Factors of 1538

List of positive integer factors of 1538 that divides 1538 without a remainder.

1, 2, 769, 1538

Factors of 1546

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

1, 2, 773, 1546

Least Common Multiple of 1538 and 1546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1538 and 1546, than apply into the LCM equation.

GCF(1538,1546) = 2
LCM(1538,1546) = ( 1538 × 1546) / 2
LCM(1538,1546) = 2377748 / 2
LCM(1538,1546) = 1188874

Properties of LCM 1538 and 1546

(i) The LCM of 1546 and 1538 is associative

LCM of 1538 and 1546 = LCM of 1546 and 1538

Related Least Common Multiples of 1538

Related Least Common Multiples of 1546

Frequently Asked Questions on LCM of 1538 and 1546

1. What is the LCM of 1538 and 1546?

Answer: LCM of 1538 and 1546 is 1188874.

2. What are the Factors of 1538?

Answer: Factors of 1538 are 1, 2, 769, 1538. There are 4 integers that are factors of 1538. The greatest factor of 1538 is 1538.

3. 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.

4. How to Find the LCM of 1538 and 1546?

Answer:

Least Common Multiple of 1538 and 1546 = 1188874

Step 1: Find the prime factorization of 1538

1538 = 2 x 769

Step 2: Find the prime factorization of 1546

1546 = 2 x 773

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

LCM = 1188874 = 2 x 769 x 773

Step 4: Therefore, the least common multiple of 1538 and 1546 is 1188874.