LCM for 72 and 80

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

LCM Table

Number 1Number 2LCM
57804560
58802320
59804720
6080
61804880
62802480
63805040
6480
65801040
66802640
67805360
68801360
69805520
7080
71805680
7280
73805840
74802960
75801200
76801520
77806160
78803120
79806320
808080
81806480
82803280
83806640
84801680
85801360
86803440

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

FAQ

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

LCM of 72 and 80 is 720