Least Common Multiple of 1542 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 1542 and 1546 the smallest integer that is 1191966 that is divisible by both numbers.

Least Common Multiple (LCM) of 1542 and 1546 is 1191966.

LCM(1542,1546) = 1191966

LCM of 1542 and 1546

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

LCM of:
and

Least Common Multiple of 1542 and 1546

LCM of 1542 and 1546 is 1191966

Least common multiple can be found by multiplying the highest exponent prime factors of 1542 and 1546. First we will calculate the prime factors of 1542 and 1546.

Prime Factorization of 1542


2 1542
3 771
257 257
1

Prime factors of 1542 are 2, 3,257. Prime factorization of 1542 in exponential form is:

1542 = 21×31×2571

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 1542 and 1546.

LCM(1542,1546) = 21×31×2571×7731
LCM(1542,1546) = 1191966

Factors of 1542

List of positive integer factors of 1542 that divides 1542 without a remainder.

1, 2, 3, 6, 257, 514, 771, 1542

Factors of 1546

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

1, 2, 773, 1546

Least Common Multiple of 1542 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 1542 and 1546, than apply into the LCM equation.

GCF(1542,1546) = 2
LCM(1542,1546) = ( 1542 × 1546) / 2
LCM(1542,1546) = 2383932 / 2
LCM(1542,1546) = 1191966

Properties of LCM 1542 and 1546

(i) The LCM of 1546 and 1542 is associative

LCM of 1542 and 1546 = LCM of 1546 and 1542

Related Least Common Multiples of 1542

Related Least Common Multiples of 1546

Frequently Asked Questions on LCM of 1542 and 1546

1. What is the LCM of 1542 and 1546?

Answer: LCM of 1542 and 1546 is 1191966.

2. What are the Factors of 1542?

Answer: Factors of 1542 are 1, 2, 3, 6, 257, 514, 771, 1542. There are 8 integers that are factors of 1542. The greatest factor of 1542 is 1542.

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 1542 and 1546?

Answer:

Least Common Multiple of 1542 and 1546 = 1191966

Step 1: Find the prime factorization of 1542

1542 = 2 x 3 x 257

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 = 1191966 = 2 x 3 x 257 x 773

Step 4: Therefore, the least common multiple of 1542 and 1546 is 1191966.