What is the LCM of 64 and 100?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 64 and 100?

Answer: LCM of 64 and 100 is 1,600

(One thousand, six hundred)

Finding LCM for 64 and 100 using GCF's of these numbers

The first method to find LCM for numbers 64 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 64 and 100 is 4, so

LCM = (64 × 100) ÷ 4

LCM = 6400 ÷ 4

LCM = 1600

Finding LCM for 64 and 100 by Listing Multiples

The second method to find LCM for numbers 64 and 100 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960, 1024, 1088, 1152, 1216, 1280, 1344, 1408, 1472, 1536, 1600, 1664, 1728

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800

So the LCM for 64 and 100 is 1600

Finding LCM for 64 and 100 by Prime Factorization

Another method to find LCM for numbers 64 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 2⁶)

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 2², 5²)

2⁶ × 5² = 1600

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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 64 and 100? (The answer is: 1600). Select the first number (e.g. '64') and the second number (e.g. '100'). 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
49	100	4900
50	100	100
51	100	5100
52	100	1300
53	100	5300
54	100	2700
55	100	1100
56	100	1400
57	100	5700
58	100	2900
59	100	5900
60	100	300
61	100	6100
62	100	3100
63	100	6300
64	100	1600
65	100	1300
66	100	3300
67	100	6700
68	100	1700
69	100	6900
70	100	700
71	100	7100
72	100	1800
73	100	7300
74	100	3700
75	100	300
76	100	1900
77	100	7700
78	100	3900

LCM for 64 and 100

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 64 and 100?

Finding LCM for 64 and 100 using GCF's of these numbers

Finding LCM for 64 and 100 by Listing Multiples

Finding LCM for 64 and 100 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 64 and 100?

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