LCM for 16 and 25

What's the Least Common Multiple (LCM) of 16 and 25?

Answer: LCM of 16 and 25 is 400

(Four hundred)

Finding LCM for 16 and 25 using GCF's of these numbers

The first method to find LCM for numbers 16 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 16 and 25 is 1, so

LCM = (16 × 25) ÷ 1

LCM = 400 ÷ 1

LCM = 400

Finding LCM for 16 and 25 by Listing Multiples

The second method to find LCM for numbers 16 and 25 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432

Multiples of 25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450

So the LCM for 16 and 25 is 400

Finding LCM for 16 and 25 by Prime Factorization

Another method to find LCM for numbers 16 and 25 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

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

24 × 52 = 400

LCM Table

Number 1Number 2LCM
12525
22550
325
425
525
625
725
825
925
1025
1125
1225
1325325
1425
1525
1625
1725
1825
1925475
2025
2125525
2225550
2325575
2425
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 16 and 25? (The answer is: 400). Select the first number (e.g. '16') 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

FAQ

What's the Least Common Multiple (LCM) of 16 and 25?

LCM of 16 and 25 is 400