LCM for 12 and 25

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 12 and 25?

Answer: LCM of 12 and 25 is 300

(Three hundred)

Finding LCM for 12 and 25 using GCF's of these numbers

The first method to find LCM for numbers 12 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 12 and 25 is 1, so

LCM = (12 × 25) ÷ 1

LCM = 300 ÷ 1

LCM = 300

Finding LCM for 12 and 25 by Listing Multiples

The second method to find LCM for numbers 12 and 25 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 300, 312, 324

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350

So the LCM for 12 and 25 is 300

Finding LCM for 12 and 25 by Prime Factorization

Another method to find LCM for numbers 12 and 25 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

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

22 × 31 × 52 = 300

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LCM Table

Number 1Number 2LCM
12525
22550
32575
425100
52525
625150
725175
825200
925225
102550
1125275
1225300
1325325
1425350
152575
1625400
1725425
1825450
1925475
2025100
2125525
2225550
2325575
2425600
252525
2625650
2725675
2825700
2925725
3025150

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 12 and 25? (The answer is: 300). Select the first number (e.g. '12') and the second number (e.g. '25'). 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

FAQ

What's the Least Common Multiple (LCM) of 12 and 25?

LCM of 12 and 25 is 300

See Also