LCM for 65 and 100

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What's the Least Common Multiple (LCM) of 65 and 100?

Answer

LCM of 65 and 100 is
1,300

(One thousand three hundred)

Finding LCM for 65 and 100 using GCF of these numbers

The first method to find LCM for numbers 65 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 65 and 100 is 5, so

LCM = (65 × 100) ÷ 5

LCM = 6,500 ÷ 5

LCM = 1,300

Finding LCM for 65 and 100 by Listing Multiples

The second method to find LCM for numbers 65 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 65: 65, 130, 195, 260, 325, 390, 455, 520, 585, 650, 715, 780, 845, 910, 975, 1,040, 1,105, 1,170, 1,235, 1,300, 1,365, 1,430

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000, 1,100, 1,200, 1,300, 1,400, 1,500

So the LCM for 65 and 100 is 1,300

Finding LCM for 65 and 100 by Prime Factorization

Another method to find LCM for numbers 65 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 65: 5, 13 (exponent form: 51, 131)

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

52 × 131 × 22 = 1,300

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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 65 and 100? (The answer is: 1,300). Select the first number (e.g. '65') 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
"Least Common Multiple" Calculator
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LCM Table

Number 1Number 2LCM
65851,105
65865,590
65875,655
65885,720
65895,785
65901,170
6591455
65925,980
65936,045
65946,110
65951,235
65966,240
65976,305
65986,370
65996,435
651001,300
651016,565
651026,630
651036,695
65104520
651051,365
651066,890
651076,955
651087,020
651097,085
651101,430
651117,215
651127,280
651137,345
651147,410

FAQ

What's the Least Common Multiple (LCM) of 65 and 100?

LCM of 65 and 100 is 1,300

How to find the LCM of 65 and 100 using prime factorization?

To find the LCM of 65 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,300.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 65 and 100: LCM = 1,300, GCF = 5.

See Also