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LCM for 4 and 25

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 4 and 25?

Answer

LCM of 4 and 25 is 100

(One hundred)

Finding LCM for 4 and 25 using GCF of these numbers

The first method to find LCM for numbers 4 and 25 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 4 and 25 is 1, so

LCM = (4 × 25) ÷ 1

LCM = 100 ÷ 1

LCM = 100

Finding LCM for 4 and 25 by Listing Multiples

The second method to find LCM for numbers 4 and 25 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108

Multiples of 25: 25, 50, 75, 100, 125, 150

So the LCM for 4 and 25 is 100

Finding LCM for 4 and 25 by Prime Factorization

Another method to find LCM for numbers 4 and 25 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 4: 2, 2 (exponent form: 22)

All Prime Factors of 25: 5, 5 (exponent form: 52)

22 × 52 = 100

Related Calculations

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What is the LCM of 4 and 25?. The LCM of 4 and 25 is 100 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
488
4936
41020
41144
41212
41352
41428
41560
41616
41768
41836
41976
42020
42184
42424
425100
42652
429116
43060
435140
43636
43876
44040
443172
44444
445180
44692
447188
44848
450100

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 4 and 25? (The answer is: 100). Select the first number (e.g. '4') and the second number (e.g. '25'). 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

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 4 and 25?

LCM of 4 and 25 is 100

How to find the LCM of 4 and 25 using prime factorization?

To find the LCM of 4 and 25, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 100.

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 4 and 25: LCM = 100, GCF = 1.

See Also