LCM for 32 and 208

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 32 and 208?

Answer: LCM of 32 and 208 is 416

(Four hundred sixteen)

Finding LCM for 32 and 208 using GCF's of these numbers

The first method to find LCM for numbers 32 and 208 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 32 and 208 is 16, so

LCM = (32 × 208) ÷ 16

LCM = 6656 ÷ 16

LCM = 416

Finding LCM for 32 and 208 by Listing Multiples

The second method to find LCM for numbers 32 and 208 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480

Multiples of 208: 208, 416, 624, 832

So the LCM for 32 and 208 is 416

Finding LCM for 32 and 208 by Prime Factorization

Another method to find LCM for numbers 32 and 208 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

All Prime Factors of 208: 2, 2, 2, 2, 13 (exponent form: 24, 131)

25 × 131 = 416

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LCM Table

Number 1Number 2LCM
172083536
182081872
192083952
202081040
212084368
222082288
232084784
24208624
252085200
26208208
272085616
282081456
292086032
302083120
312086448
32208416
332086864
342083536
352087280
362081872
372087696
382083952
39208624
402081040
412088528
422084368
432088944
442082288
452089360
462084784

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 32 and 208? (The answer is: 416). Select the first number (e.g. '32') and the second number (e.g. '208'). 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 32 and 208?

LCM of 32 and 208 is 416

See Also