LCM for 55 and 75

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What's the Least Common Multiple (LCM) of 55 and 75?

Answer

LCM of 55 and 75 is
825

(Eight hundred twenty-five)

Finding LCM for 55 and 75 using GCF of these numbers

The first method to find LCM for numbers 55 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 55 and 75 is 5, so

LCM = (55 × 75) ÷ 5

LCM = 4,125 ÷ 5

LCM = 825

Finding LCM for 55 and 75 by Listing Multiples

The second method to find LCM for numbers 55 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 55: 55, 110, 165, 220, 275, 330, 385, 440, 495, 550, 605, 660, 715, 770, 825, 880, 935

Multiples of 75: 75, 150, 225, 300, 375, 450, 525, 600, 675, 750, 825, 900, 975

So the LCM for 55 and 75 is 825

Finding LCM for 55 and 75 by Prime Factorization

Another method to find LCM for numbers 55 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 55: 5, 11 (exponent form: 51, 111)

All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

52 × 111 × 31 = 825

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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 55 and 75? (The answer is: 825). Select the first number (e.g. '55') and the second number (e.g. '75'). 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 1Number 2LCM
5560660
55613,355
55623,410
55633,465
55643,520
5565715
5566330
55673,685
55683,740
55693,795
5570770
55713,905
55723,960
55734,015
55744,070
5575825
55764,180
5577385
55784,290
55794,345
5580880
55814,455
55824,510
55834,565
55844,620
5585935
55864,730
55874,785
5588440
55894,895

FAQ

What's the Least Common Multiple (LCM) of 55 and 75?

LCM of 55 and 75 is 825

How to find the LCM of 55 and 75 using prime factorization?

To find the LCM of 55 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 825.

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 55 and 75: LCM = 825, GCF = 5.

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