Least Common Multiple of 744 and 746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 744 and 746 the smallest integer that is 277512 that is divisible by both numbers.

Least Common Multiple (LCM) of 744 and 746 is 277512.

LCM(744,746) = 277512

LCM of 744 and 746

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

LCM of:
and

Least Common Multiple of 744 and 746

LCM of 744 and 746 is 277512

Least common multiple can be found by multiplying the highest exponent prime factors of 744 and 746. First we will calculate the prime factors of 744 and 746.

Prime Factorization of 744


2 744
2 372
2 186
3 93
31 31
1

Prime factors of 744 are 2, 3,31. Prime factorization of 744 in exponential form is:

744 = 23×31×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 744 and 746.

LCM(744,746) = 23×31×311×3731
LCM(744,746) = 277512

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Factors of 746

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

1, 2, 373, 746

Least Common Multiple of 744 and 746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 744 and 746, than apply into the LCM equation.

GCF(744,746) = 2
LCM(744,746) = ( 744 × 746) / 2
LCM(744,746) = 555024 / 2
LCM(744,746) = 277512

Properties of LCM 744 and 746

(i) The LCM of 746 and 744 is associative

LCM of 744 and 746 = LCM of 746 and 744

Related Least Common Multiples of 744

Related Least Common Multiples of 746

Frequently Asked Questions on LCM of 744 and 746

1. What is the LCM of 744 and 746?

Answer: LCM of 744 and 746 is 277512.

2. What are the Factors of 744?

Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.

3. 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.

4. How to Find the LCM of 744 and 746?

Answer:

Least Common Multiple of 744 and 746 = 277512

Step 1: Find the prime factorization of 744

744 = 2 x 2 x 2 x 3 x 31

Step 2: Find the prime factorization of 746

746 = 2 x 373

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

LCM = 277512 = 2 x 2 x 2 x 3 x 31 x 373

Step 4: Therefore, the least common multiple of 744 and 746 is 277512.