What is the LCM of 42 and 90?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 42 and 90?

Answer: LCM of 42 and 90 is 630

(Six hundred thirty)

Finding LCM for 42 and 90 using GCF's of these numbers

The first method to find LCM for numbers 42 and 90 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 90 is 6, so

LCM = (42 × 90) ÷ 6

LCM = 3780 ÷ 6

LCM = 630

Finding LCM for 42 and 90 by Listing Multiples

The second method to find LCM for numbers 42 and 90 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714

Multiples of 90: 90, 180, 270, 360, 450, 540, 630, 720, 810

So the LCM for 42 and 90 is 630

Finding LCM for 42 and 90 by Prime Factorization

Another method to find LCM for numbers 42 and 90 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 42: 2, 3, 7 (exponent form: 2¹, 3¹, 7¹)

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

2¹ × 3² × 7¹ × 5¹ = 630

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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 42 and 90? (The answer is: 630). Select the first number (e.g. '42') 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
27	90	270
28	90	1260
29	90	2610
30	90	90
31	90	2790
32	90	1440
33	90	990
34	90	1530
35	90	630
36	90	180
37	90	3330
38	90	1710
39	90	1170
40	90	360
41	90	3690
42	90	630
43	90	3870
44	90	1980
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

LCM for 42 and 90

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 42 and 90?

Finding LCM for 42 and 90 using GCF's of these numbers

Finding LCM for 42 and 90 by Listing Multiples

Finding LCM for 42 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 42 and 90?

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