LCM for 72 and 75

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 72 and 75?

Answer

LCM of 72 and 75 is 1,800

(One thousand, eight hundred)

Finding LCM for 72 and 75 using GCF of these numbers

The first method to find LCM for numbers 72 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 75 is 3, so

LCM = (72 × 75) ÷ 3

LCM = 5400 ÷ 3

LCM = 1800

Finding LCM for 72 and 75 by Listing Multiples

The second method to find LCM for numbers 72 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864, 936, 1008, 1080, 1152, 1224, 1296, 1368, 1440, 1512, 1584, 1656, 1728, 1800, 1872, 1944

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1050, 1125, 1200, 1275, 1350, 1425, 1500, 1575, 1650, 1725, 1800, 1875, 1950

So the LCM for 72 and 75 is 1800

Finding LCM for 72 and 75 by Prime Factorization

Another method to find LCM for numbers 72 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

23 × 32 × 52 = 1800

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 72 and 75? (The answer is: 1800). Select the first number (e.g. '72') and the second number (e.g. '75'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
57751425
58754350
59754425
6075300
61754575
62754650
63751575
64754800
6575975
66751650
67755025
68755100
69751725
70751050
71755325
72751800
73755475
74755550
757575
76755700
77755775
78751950
79755925
80751200
81752025
82756150
83756225
84752100
85751275
86756450

FAQ

What's the Least Common Multiple (LCM) of 72 and 75?

LCM of 72 and 75 is 1,800

How to find the LCM of 72 and 75 using prime factorization?

To find the LCM of 72 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,800.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 72 and 75: LCM = 1,800, GCF = 3.

See Also