What is the LCM of 45 and 65?

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What's the Least Common Multiple (LCM) of 45 and 65?

Answer: LCM of 45 and 65 is 585

(Five hundred eighty-five)

Finding LCM for 45 and 65 using GCF's of these numbers

The first method to find LCM for numbers 45 and 65 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 65 is 5, so

LCM = (45 × 65) ÷ 5

LCM = 2925 ÷ 5

LCM = 585

Finding LCM for 45 and 65 by Listing Multiples

The second method to find LCM for numbers 45 and 65 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675

Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, 715

So the LCM for 45 and 65 is 585

Finding LCM for 45 and 65 by Prime Factorization

Another method to find LCM for numbers 45 and 65 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 45: 3, 3, 5 (exponent form: 3², 5¹)

All Prime Factors of 65: 5, 13 (exponent form: 5¹, 13¹)

3² × 5¹ × 13¹ = 585

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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 45 and 65? (The answer is: 585). Select the first number (e.g. '45') and the second number (e.g. '65'). 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
30	65	390
31	65	2015
32	65	2080
33	65	2145
34	65	2210
35	65	455
36	65	2340
37	65	2405
38	65	2470
39	65	195
40	65	520
41	65	2665
42	65	2730
43	65	2795
44	65	2860
45	65	585
46	65	2990
47	65	3055
48	65	3120
49	65	3185
50	65	650
51	65	3315
52	65	260
53	65	3445
54	65	3510
55	65	715
56	65	3640
57	65	3705
58	65	3770
59	65	3835

LCM for 45 and 65

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 65?

Finding LCM for 45 and 65 using GCF's of these numbers

Finding LCM for 45 and 65 by Listing Multiples

Finding LCM for 45 and 65 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 45 and 65?

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