What is the LCM of 45 and 72?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 72?

Answer: LCM of 45 and 72 is 360

(Three hundred sixty)

Finding LCM for 45 and 72 using GCF's of these numbers

The first method to find LCM for numbers 45 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 45 and 72 is 9, so

LCM = (45 × 72) ÷ 9

LCM = 3240 ÷ 9

LCM = 360

Finding LCM for 45 and 72 by Listing Multiples

The second method to find LCM for numbers 45 and 72 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

Multiples of 72: 72, 144, 216, 288, 360, 432, 504

So the LCM for 45 and 72 is 360

Finding LCM for 45 and 72 by Prime Factorization

Another method to find LCM for numbers 45 and 72 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 72: 2, 2, 2, 3, 3 (exponent form: 2³, 3²)

3² × 5¹ × 2³ = 360

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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 72? (The answer is: 360). Select the first number (e.g. '45') and the second number (e.g. '72'). 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	72	360
31	72	2232
32	72	288
33	72	792
34	72	1224
35	72	2520
36	72	72
37	72	2664
38	72	1368
39	72	936
40	72	360
41	72	2952
42	72	504
43	72	3096
44	72	792
45	72	360
46	72	1656
47	72	3384
48	72	144
49	72	3528
50	72	1800
51	72	1224
52	72	936
53	72	3816
54	72	216
55	72	3960
56	72	504
57	72	1368
58	72	2088
59	72	4248

LCM for 45 and 72

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 45 and 72?

Finding LCM for 45 and 72 using GCF's of these numbers

Finding LCM for 45 and 72 by Listing Multiples

Finding LCM for 45 and 72 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 72?

See Also