What is the LCM of 45 and 105?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 105?

Answer: LCM of 45 and 105 is 315

(Three hundred fifteen)

Finding LCM for 45 and 105 using GCF's of these numbers

The first method to find LCM for numbers 45 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 105 is 15, so

LCM = (45 × 105) ÷ 15

LCM = 4725 ÷ 15

LCM = 315

Finding LCM for 45 and 105 by Listing Multiples

The second method to find LCM for numbers 45 and 105 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

Multiples of 105: 105, 210, 315, 420, 525

So the LCM for 45 and 105 is 315

Finding LCM for 45 and 105 by Prime Factorization

Another method to find LCM for numbers 45 and 105 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 105: 3, 5, 7 (exponent form: 3¹, 5¹, 7¹)

3² × 5¹ × 7¹ = 315

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What is the GCF of 45 and 105

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 105? (The answer is: 315). Select the first number (e.g. '45') and the second number (e.g. '105'). 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

LCM Table

Number 1	Number 2	LCM
30	105	210
31	105	3255
32	105	3360
33	105	1155
34	105	3570
35	105	105
36	105	1260
37	105	3885
38	105	3990
39	105	1365
40	105	840
41	105	4305
42	105	210
43	105	4515
44	105	4620
45	105	315
46	105	4830
47	105	4935
48	105	1680
49	105	735
50	105	1050
51	105	1785
52	105	5460
53	105	5565
54	105	1890
55	105	1155
56	105	840
57	105	1995
58	105	6090
59	105	6195

LCM for 45 and 105

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 105?

Finding LCM for 45 and 105 using GCF's of these numbers

Finding LCM for 45 and 105 by Listing Multiples

Finding LCM for 45 and 105 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 105?

See Also