LCM for 25 and 64

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What's the Least Common Multiple (LCM) of 25 and 64?

Answer

LCM of 25 and 64 is
1,600

(One thousand six hundred)

Finding LCM for 25 and 64 using GCF of these numbers

The first method to find LCM for numbers 25 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 25 and 64 is 1, so

LCM = (25 × 64) ÷ 1

LCM = 1,600 ÷ 1

LCM = 1,600

Finding LCM for 25 and 64 by Listing Multiples

The second method to find LCM for numbers 25 and 64 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 475, 500, 525, 550, 575, 600, 625, 650, 675, 700, 725, 750, 775, 800, 825, 850, 875, 900, 925, 950, 975, 1,000, 1,025, 1,050, 1,075, 1,100, 1,125, 1,150, 1,175, 1,200, 1,225, 1,250, 1,275, 1,300, 1,325, 1,350, 1,375, 1,400, 1,425, 1,450, 1,475, 1,500, 1,525, 1,550, 1,575, 1,600, 1,625, 1,650

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1,024, 1,088, 1,152, 1,216, 1,280, 1,344, 1,408, 1,472, 1,536, 1,600, 1,664, 1,728

So the LCM for 25 and 64 is 1,600

Finding LCM for 25 and 64 by Prime Factorization

Another method to find LCM for numbers 25 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 25: 5, 5 (exponent form: 52)

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

52 × 26 = 1,600

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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 25 and 64? (The answer is: 1,600). Select the first number (e.g. '25') and the second number (e.g. '64'). 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
2534850
2535175
2536900
2537925
2538950
2540200
25411,025
25421,050
2545225
25461,150
25491,225
255050
25531,325
2555275
2560300
25641,600
2565325
2570350
257575
2580400
25812,025
2590450
25100100
25105525
251213,025
25125125
251443,600
25150150
25175175
25200200

FAQ

What's the Least Common Multiple (LCM) of 25 and 64?

LCM of 25 and 64 is 1,600

How to find the LCM of 25 and 64 using prime factorization?

To find the LCM of 25 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,600.

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 25 and 64: LCM = 1,600, GCF = 1.

See Also