What is the LCM of 72 and 80?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 72 and 80?

Answer: LCM of 72 and 80 is 720

(Seven hundred twenty)

Finding LCM for 72 and 80 using GCF's of these numbers

The first method to find LCM for numbers 72 and 80 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 80 is 8, so

LCM = (72 × 80) ÷ 8

LCM = 5760 ÷ 8

LCM = 720

Finding LCM for 72 and 80 by Listing Multiples

The second method to find LCM for numbers 72 and 80 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720, 792, 864

Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880

So the LCM for 72 and 80 is 720

Finding LCM for 72 and 80 by Prime Factorization

Another method to find LCM for numbers 72 and 80 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 2³, 3²)

All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 2⁴, 5¹)

2⁴ × 3² × 5¹ = 720

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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 72 and 80? (The answer is: 720). Select the first number (e.g. '72') and the second number (e.g. '80'). 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
57	80	4560
58	80	2320
59	80	4720
60	80	240
61	80	4880
62	80	2480
63	80	5040
64	80	320
65	80	1040
66	80	2640
67	80	5360
68	80	1360
69	80	5520
70	80	560
71	80	5680
72	80	720
73	80	5840
74	80	2960
75	80	1200
76	80	1520
77	80	6160
78	80	3120
79	80	6320
80	80	80
81	80	6480
82	80	3280
83	80	6640
84	80	1680
85	80	1360
86	80	3440

LCM for 72 and 80

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 72 and 80?

Finding LCM for 72 and 80 using GCF's of these numbers

Finding LCM for 72 and 80 by Listing Multiples

Finding LCM for 72 and 80 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 72 and 80?

See Also