LCM for 72 and 75

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Least Common Multiple of
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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 = 5,400 ÷ 3

LCM = 1,800

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, 1,008, 1,080, 1,152, 1,224, 1,296, 1,368, 1,440, 1,512, 1,584, 1,656, 1,728, 1,800, 1,872, 1,944

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975, 1,050, 1,125, 1,200, 1,275, 1,350, 1,425, 1,500, 1,575, 1,650, 1,725, 1,800, 1,875, 1,950

So the LCM for 72 and 75 is 1,800

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 = 1,800

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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: 1,800). 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
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LCM Table

Number 1Number 2LCM
7260360
72614,392
72622,232
7263504
7264576
72654,680
7266792
72674,824
72681,224
72691,656
72702,520
72715,112
727272
72735,256
72742,664
72751,800
72761,368
72775,544
7278936
72795,688
7280720
7281648
72822,952
72835,976
7284504
72856,120
72863,096
72872,088
7288792
72896,408

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