What is the LCM of 45 and 60?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 60?

Answer: LCM of 45 and 60 is 180

(One hundred eighty)

Finding LCM for 45 and 60 using GCF's of these numbers

The first method to find LCM for numbers 45 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 60 is 15, so

LCM = (45 × 60) ÷ 15

LCM = 2700 ÷ 15

LCM = 180

Finding LCM for 45 and 60 by Listing Multiples

The second method to find LCM for numbers 45 and 60 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

Multiples of 60: 60, 120, 180, 240, 300

So the LCM for 45 and 60 is 180

Finding LCM for 45 and 60 by Prime Factorization

Another method to find LCM for numbers 45 and 60 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 60: 2, 2, 3, 5 (exponent form: 2², 3¹, 5¹)

3² × 5¹ × 2² = 180

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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 60? (The answer is: 180). Select the first number (e.g. '45') and the second number (e.g. '60'). 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	60	60
31	60	1860
32	60	480
33	60	660
34	60	1020
35	60	420
36	60	180
37	60	2220
38	60	1140
39	60	780
40	60	120
41	60	2460
42	60	420
43	60	2580
44	60	660
45	60	180
46	60	1380
47	60	2820
48	60	240
49	60	2940
50	60	300
51	60	1020
52	60	780
53	60	3180
54	60	540
55	60	660
56	60	840
57	60	1140
58	60	1740
59	60	3540

LCM for 45 and 60

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 60?

Finding LCM for 45 and 60 using GCF's of these numbers

Finding LCM for 45 and 60 by Listing Multiples

Finding LCM for 45 and 60 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 60?

See Also