What is the LCM of 72 and 90?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 72 and 90?

Answer: LCM of 72 and 90 is 360

(Three hundred sixty)

Finding LCM for 72 and 90 using GCF's of these numbers

The first method to find LCM for numbers 72 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 72 and 90 is 18, so

LCM = (72 × 90) ÷ 18

LCM = 6480 ÷ 18

LCM = 360

Finding LCM for 72 and 90 by Listing Multiples

The second method to find LCM for numbers 72 and 90 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

Multiples of 90: 90, 180, 270, 360, 450, 540

So the LCM for 72 and 90 is 360

Finding LCM for 72 and 90 by Prime Factorization

Another method to find LCM for numbers 72 and 90 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 90: 2, 3, 3, 5 (exponent form: 2¹, 3², 5¹)

2³ × 3² × 5¹ = 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 72 and 90? (The answer is: 360). Select the first number (e.g. '72') and the second number (e.g. '90'). 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	90	1710
58	90	2610
59	90	5310
60	90	180
61	90	5490
62	90	2790
63	90	630
64	90	2880
65	90	1170
66	90	990
67	90	6030
68	90	3060
69	90	2070
70	90	630
71	90	6390
72	90	360
73	90	6570
74	90	3330
75	90	450
76	90	3420
77	90	6930
78	90	1170
79	90	7110
80	90	720
81	90	810
82	90	3690
83	90	7470
84	90	1260
85	90	1530
86	90	3870

LCM for 72 and 90

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 72 and 90?

Finding LCM for 72 and 90 using GCF's of these numbers

Finding LCM for 72 and 90 by Listing Multiples

Finding LCM for 72 and 90 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 90?

See Also