Least Common Multiple of 745 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 745 and 746 the smallest integer that is 555770 that is divisible by both numbers.

Least Common Multiple (LCM) of 745 and 746 is 555770.

LCM(745,746) = 555770

LCM of 745 and 746

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

LCM of:
and

Least Common Multiple of 745 and 746

LCM of 745 and 746 is 555770

Least common multiple can be found by multiplying the highest exponent prime factors of 745 and 746. First we will calculate the prime factors of 745 and 746.

Prime Factorization of 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

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 745 and 746.

LCM(745,746) = 21×51×1491×3731
LCM(745,746) = 555770

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Factors of 746

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

1, 2, 373, 746

Least Common Multiple of 745 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 745 and 746, than apply into the LCM equation.

GCF(745,746) = 1
LCM(745,746) = ( 745 × 746) / 1
LCM(745,746) = 555770 / 1
LCM(745,746) = 555770

Properties of LCM 745 and 746

(i) The LCM of 746 and 745 is associative

LCM of 745 and 746 = LCM of 746 and 745

Related Least Common Multiples of 745

Related Least Common Multiples of 746

Frequently Asked Questions on LCM of 745 and 746

1. What is the LCM of 745 and 746?

Answer: LCM of 745 and 746 is 555770.

2. What are the Factors of 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

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 745 and 746?

Answer:

Least Common Multiple of 745 and 746 = 555770

Step 1: Find the prime factorization of 745

745 = 5 x 149

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 = 555770 = 2 x 5 x 149 x 373

Step 4: Therefore, the least common multiple of 745 and 746 is 555770.