What is the LCM of 40 and 64?

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What's the Least Common Multiple (LCM) of 40 and 64?

Answer: LCM of 40 and 64 is 320

(Three hundred twenty)

Finding LCM for 40 and 64 using GCF's of these numbers

The first method to find LCM for numbers 40 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 64 is 8, so

LCM = (40 × 64) ÷ 8

LCM = 2560 ÷ 8

LCM = 320

Finding LCM for 40 and 64 by Listing Multiples

The second method to find LCM for numbers 40 and 64 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400

Multiples of 64: 64, 128, 192, 256, 320, 384, 448

So the LCM for 40 and 64 is 320

Finding LCM for 40 and 64 by Prime Factorization

Another method to find LCM for numbers 40 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 2³, 5¹)

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

2⁶ × 5¹ = 320

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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 40 and 64? (The answer is: 320). Select the first number (e.g. '40') 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

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LCM Table

Number 1	Number 2	LCM
25	64	1600
26	64	832
27	64	1728
28	64	448
29	64	1856
30	64	960
31	64	1984
32	64	64
33	64	2112
34	64	1088
35	64	2240
36	64	576
37	64	2368
38	64	1216
39	64	2496
40	64	320
41	64	2624
42	64	1344
43	64	2752
44	64	704
45	64	2880
46	64	1472
47	64	3008
48	64	192
49	64	3136
50	64	1600
51	64	3264
52	64	832
53	64	3392
54	64	1728

LCM for 40 and 64

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 40 and 64?

Finding LCM for 40 and 64 using GCF's of these numbers

Finding LCM for 40 and 64 by Listing Multiples

Finding LCM for 40 and 64 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 40 and 64?

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