Least Common Multiple of 746 and 753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 746 and 753 the smallest integer that is 561738 that is divisible by both numbers.

Least Common Multiple (LCM) of 746 and 753 is 561738.

LCM(746,753) = 561738

LCM of 746 and 753

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

LCM of:
and

Least Common Multiple of 746 and 753

LCM of 746 and 753 is 561738

Least common multiple can be found by multiplying the highest exponent prime factors of 746 and 753. First we will calculate the prime factors of 746 and 753.

Prime Factorization of 746


2 746
373 373
1

Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:

746 = 21×3731

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 746 and 753.

LCM(746,753) = 21×31×2511×3731
LCM(746,753) = 561738

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Least Common Multiple of 746 and 753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 746 and 753, than apply into the LCM equation.

GCF(746,753) = 1
LCM(746,753) = ( 746 × 753) / 1
LCM(746,753) = 561738 / 1
LCM(746,753) = 561738

Properties of LCM 746 and 753

(i) The LCM of 753 and 746 is associative

LCM of 746 and 753 = LCM of 753 and 746

Related Least Common Multiples of 746

Related Least Common Multiples of 753

Frequently Asked Questions on LCM of 746 and 753

1. What is the LCM of 746 and 753?

Answer: LCM of 746 and 753 is 561738.

2. What are the Factors of 746?

Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.

3. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

4. How to Find the LCM of 746 and 753?

Answer:

Least Common Multiple of 746 and 753 = 561738

Step 1: Find the prime factorization of 746

746 = 2 x 373

Step 2: Find the prime factorization of 753

753 = 3 x 251

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

LCM = 561738 = 2 x 3 x 251 x 373

Step 4: Therefore, the least common multiple of 746 and 753 is 561738.