What is the LCM of 60 and 90?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 60 and 90?

Answer: LCM of 60 and 90 is 180

(One hundred eighty)

Finding LCM for 60 and 90 using GCF's of these numbers

The first method to find LCM for numbers 60 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 90 is 30, so

LCM = (60 × 90) ÷ 30

LCM = 5400 ÷ 30

LCM = 180

Finding LCM for 60 and 90 by Listing Multiples

The second method to find LCM for numbers 60 and 90 is to list out the common multiples for both nubmers and pick the first which matching:

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

Multiples of 90: 90, 180, 270, 360

So the LCM for 60 and 90 is 180

Finding LCM for 60 and 90 by Prime Factorization

Another method to find LCM for numbers 60 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 2², 3¹, 5¹)

All Prime Factors of 90: 2, 3, 3, 5 (exponent form: 2¹, 3², 5¹)

2² × 3² × 5¹ = 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 60 and 90? (The answer is: 180). Select the first number (e.g. '60') 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

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
45	90	90
46	90	2070
47	90	4230
48	90	720
49	90	4410
50	90	450
51	90	1530
52	90	2340
53	90	4770
54	90	270
55	90	990
56	90	2520
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

LCM for 60 and 90

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 60 and 90?

Finding LCM for 60 and 90 using GCF's of these numbers

Finding LCM for 60 and 90 by Listing Multiples

Finding LCM for 60 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 60 and 90?

See Also